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Finding the Fourth Proportional to 138,624.66, 191,302.17 and 74,962.44

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Solution

The fourth proportional to 138,624.66, 191,302.17 and 74,962.44 is: 103,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624.66 : 191,302.17 = 74,962.44 : x
  2. Step 2: Convert to fraction form
    138,624.66/191,302.17 = 74,962.44/x
  3. Step 3: Cross multiply
    138,624.66x = 191,302.17 × 74,962.44
  4. Step 4: Simplify right side
    138,624.66x = 14,340,477,440.49
  5. Step 5: Solve for x
    x = 14,340,477,440.49/138,624.66
  6. Step 6: Final answer
    x = 103,448.24

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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.