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Finding the Fourth Proportional to 103,114.24, 142,297.92 and 58,402.24

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Solution

The fourth proportional to 103,114.24, 142,297.92 and 58,402.24 is: 80,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,114.24 : 142,297.92 = 58,402.24 : x
  2. Step 2: Convert to fraction form
    103,114.24/142,297.92 = 58,402.24/x
  3. Step 3: Cross multiply
    103,114.24x = 142,297.92 × 58,402.24
  4. Step 4: Simplify right side
    103,114.24x = 8,310,517,275.34
  5. Step 5: Solve for x
    x = 8,310,517,275.34/103,114.24
  6. Step 6: Final answer
    x = 80,595.24

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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.