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Finding the Fourth Proportional to 176,608.60, 264,821.70 and 51,933.40

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Solution

The fourth proportional to 176,608.60, 264,821.70 and 51,933.40 is: 77,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,608.60 : 264,821.70 = 51,933.40 : x
  2. Step 2: Convert to fraction form
    176,608.60/264,821.70 = 51,933.40/x
  3. Step 3: Cross multiply
    176,608.60x = 264,821.70 × 51,933.40
  4. Step 4: Simplify right side
    176,608.60x = 13,753,091,274.78
  5. Step 5: Solve for x
    x = 13,753,091,274.78/176,608.60
  6. Step 6: Final answer
    x = 77,873.28

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Why These Related Problems?

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