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Finding the Fourth Proportional to 176,758.40, 264,748.80 and 157,059.20

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Solution

The fourth proportional to 176,758.40, 264,748.80 and 157,059.20 is: 235,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758.40 : 264,748.80 = 157,059.20 : x
  2. Step 2: Convert to fraction form
    176,758.40/264,748.80 = 157,059.20/x
  3. Step 3: Cross multiply
    176,758.40x = 264,748.80 × 157,059.20
  4. Step 4: Simplify right side
    176,758.40x = 41,581,234,728.96
  5. Step 5: Solve for x
    x = 41,581,234,728.96/176,758.40
  6. Step 6: Final answer
    x = 235,243.33

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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.