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Finding the Fourth Proportional to 107,530.96, 148,384.32 and 59,781.40

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Solution

The fourth proportional to 107,530.96, 148,384.32 and 59,781.40 is: 82,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,530.96 : 148,384.32 = 59,781.40 : x
  2. Step 2: Convert to fraction form
    107,530.96/148,384.32 = 59,781.40/x
  3. Step 3: Cross multiply
    107,530.96x = 148,384.32 × 59,781.40
  4. Step 4: Simplify right side
    107,530.96x = 8,870,622,387.65
  5. Step 5: Solve for x
    x = 8,870,622,387.65/107,530.96
  6. Step 6: Final answer
    x = 82,493.66

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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.