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Finding the Fourth Proportional to 102,430.92, 153,646.20 and 40,057.68

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Solution

The fourth proportional to 102,430.92, 153,646.20 and 40,057.68 is: 60,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.92 : 153,646.20 = 40,057.68 : x
  2. Step 2: Convert to fraction form
    102,430.92/153,646.20 = 40,057.68/x
  3. Step 3: Cross multiply
    102,430.92x = 153,646.20 × 40,057.68
  4. Step 4: Simplify right side
    102,430.92x = 6,154,710,312.82
  5. Step 5: Solve for x
    x = 6,154,710,312.82/102,430.92
  6. Step 6: Final answer
    x = 60,086.45

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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.