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Finding the Fourth Proportional to 103,602.20, 142,983.70 and 58,282.10

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Solution

The fourth proportional to 103,602.20, 142,983.70 and 58,282.10 is: 80,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602.20 : 142,983.70 = 58,282.10 : x
  2. Step 2: Convert to fraction form
    103,602.20/142,983.70 = 58,282.10/x
  3. Step 3: Cross multiply
    103,602.20x = 142,983.70 × 58,282.10
  4. Step 4: Simplify right side
    103,602.20x = 8,333,390,301.77
  5. Step 5: Solve for x
    x = 8,333,390,301.77/103,602.20
  6. Step 6: Final answer
    x = 80,436.42

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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.