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Finding the Fourth Proportional to 158,477.38, 218,308.17 and 135,742.30

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Solution

The fourth proportional to 158,477.38, 218,308.17 and 135,742.30 is: 186,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,477.38 : 218,308.17 = 135,742.30 : x
  2. Step 2: Convert to fraction form
    158,477.38/218,308.17 = 135,742.30/x
  3. Step 3: Cross multiply
    158,477.38x = 218,308.17 × 135,742.30
  4. Step 4: Simplify right side
    158,477.38x = 29,633,653,104.59
  5. Step 5: Solve for x
    x = 29,633,653,104.59/158,477.38
  6. Step 6: Final answer
    x = 186,989.80

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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.