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Finding the Fourth Proportional to 103,962.62, 155,864.64 and 86,138.58

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Solution

The fourth proportional to 103,962.62, 155,864.64 and 86,138.58 is: 129,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,962.62 : 155,864.64 = 86,138.58 : x
  2. Step 2: Convert to fraction form
    103,962.62/155,864.64 = 86,138.58/x
  3. Step 3: Cross multiply
    103,962.62x = 155,864.64 × 86,138.58
  4. Step 4: Simplify right side
    103,962.62x = 13,425,958,761.81
  5. Step 5: Solve for x
    x = 13,425,958,761.81/103,962.62
  6. Step 6: Final answer
    x = 129,142.17

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Why These Related Problems?

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