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Finding the Fourth Proportional to 135,706.09, 187,282.89 and 78,355.91

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Solution

The fourth proportional to 135,706.09, 187,282.89 and 78,355.91 is: 108,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.09 : 187,282.89 = 78,355.91 : x
  2. Step 2: Convert to fraction form
    135,706.09/187,282.89 = 78,355.91/x
  3. Step 3: Cross multiply
    135,706.09x = 187,282.89 × 78,355.91
  4. Step 4: Simplify right side
    135,706.09x = 14,674,721,273.38
  5. Step 5: Solve for x
    x = 14,674,721,273.38/135,706.09
  6. Step 6: Final answer
    x = 108,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.