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Finding the Fourth Proportional to 177,532.30, 266,298.45 and 149,538.70

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Solution

The fourth proportional to 177,532.30, 266,298.45 and 149,538.70 is: 224,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,532.30 : 266,298.45 = 149,538.70 : x
  2. Step 2: Convert to fraction form
    177,532.30/266,298.45 = 149,538.70/x
  3. Step 3: Cross multiply
    177,532.30x = 266,298.45 × 149,538.70
  4. Step 4: Simplify right side
    177,532.30x = 39,821,924,025.02
  5. Step 5: Solve for x
    x = 39,821,924,025.02/177,532.30
  6. Step 6: Final answer
    x = 224,308.05

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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.