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Finding the Fourth Proportional to 102,529.60, 153,794.40 and 97,691.20

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Solution

The fourth proportional to 102,529.60, 153,794.40 and 97,691.20 is: 146,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.60 : 153,794.40 = 97,691.20 : x
  2. Step 2: Convert to fraction form
    102,529.60/153,794.40 = 97,691.20/x
  3. Step 3: Cross multiply
    102,529.60x = 153,794.40 × 97,691.20
  4. Step 4: Simplify right side
    102,529.60x = 15,024,359,489.28
  5. Step 5: Solve for x
    x = 15,024,359,489.28/102,529.60
  6. Step 6: Final answer
    x = 146,536.80

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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.