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Finding the Fourth Proportional to 106,169.40, 159,254.10 and 59,416.20

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Solution

The fourth proportional to 106,169.40, 159,254.10 and 59,416.20 is: 89,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,169.40 : 159,254.10 = 59,416.20 : x
  2. Step 2: Convert to fraction form
    106,169.40/159,254.10 = 59,416.20/x
  3. Step 3: Cross multiply
    106,169.40x = 159,254.10 × 59,416.20
  4. Step 4: Simplify right side
    106,169.40x = 9,462,273,456.42
  5. Step 5: Solve for x
    x = 9,462,273,456.42/106,169.40
  6. Step 6: Final answer
    x = 89,124.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.