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Finding the Fourth Proportional to 102,026.70, 140,756.36 and 58,998.24

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Solution

The fourth proportional to 102,026.70, 140,756.36 and 58,998.24 is: 81,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.70 : 140,756.36 = 58,998.24 : x
  2. Step 2: Convert to fraction form
    102,026.70/140,756.36 = 58,998.24/x
  3. Step 3: Cross multiply
    102,026.70x = 140,756.36 × 58,998.24
  4. Step 4: Simplify right side
    102,026.70x = 8,304,377,508.81
  5. Step 5: Solve for x
    x = 8,304,377,508.81/102,026.70
  6. Step 6: Final answer
    x = 81,394.16

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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.