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Finding the Fourth Proportional to 106,141.08, 159,222 and 39,565.68

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Solution

The fourth proportional to 106,141.08, 159,222 and 39,565.68 is: 59,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,141.08 : 159,222 = 39,565.68 : x
  2. Step 2: Convert to fraction form
    106,141.08/159,222 = 39,565.68/x
  3. Step 3: Cross multiply
    106,141.08x = 159,222 × 39,565.68
  4. Step 4: Simplify right side
    106,141.08x = 6,299,726,700.96
  5. Step 5: Solve for x
    x = 6,299,726,700.96/106,141.08
  6. Step 6: Final answer
    x = 59,352.39

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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.