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Finding the Fourth Proportional to 105,142.16, 145,094.31 and 59,819.17

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Solution

The fourth proportional to 105,142.16, 145,094.31 and 59,819.17 is: 82,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,142.16 : 145,094.31 = 59,819.17 : x
  2. Step 2: Convert to fraction form
    105,142.16/145,094.31 = 59,819.17/x
  3. Step 3: Cross multiply
    105,142.16x = 145,094.31 × 59,819.17
  4. Step 4: Simplify right side
    105,142.16x = 8,679,421,195.92
  5. Step 5: Solve for x
    x = 8,679,421,195.92/105,142.16
  6. Step 6: Final answer
    x = 82,549.39

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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.