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Finding the Fourth Proportional to 176,129,121.60, 264,193,682.40 and 160,256,750.40

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Solution

The fourth proportional to 176,129,121.60, 264,193,682.40 and 160,256,750.40 is: 240,385,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129,121.60 : 264,193,682.40 = 160,256,750.40 : x
  2. Step 2: Convert to fraction form
    176,129,121.60/264,193,682.40 = 160,256,750.40/x
  3. Step 3: Cross multiply
    176,129,121.60x = 264,193,682.40 × 160,256,750.40
  4. Step 4: Simplify right side
    176,129,121.60x = 42,338,821,017,633,672
  5. Step 5: Solve for x
    x = 42,338,821,017,633,672/176,129,121.60
  6. Step 6: Final answer
    x = 240,385,125.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.