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Finding the Fourth Proportional to 103,402.49, 142,688.82 and 58,079.24

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Solution

The fourth proportional to 103,402.49, 142,688.82 and 58,079.24 is: 80,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,402.49 : 142,688.82 = 58,079.24 : x
  2. Step 2: Convert to fraction form
    103,402.49/142,688.82 = 58,079.24/x
  3. Step 3: Cross multiply
    103,402.49x = 142,688.82 × 58,079.24
  4. Step 4: Simplify right side
    103,402.49x = 8,287,258,261.53
  5. Step 5: Solve for x
    x = 8,287,258,261.53/103,402.49
  6. Step 6: Final answer
    x = 80,145.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.