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Finding the Fourth Proportional to 136,713.96, 205,071.90 and 38,217.96

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Solution

The fourth proportional to 136,713.96, 205,071.90 and 38,217.96 is: 57,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,713.96 : 205,071.90 = 38,217.96 : x
  2. Step 2: Convert to fraction form
    136,713.96/205,071.90 = 38,217.96/x
  3. Step 3: Cross multiply
    136,713.96x = 205,071.90 × 38,217.96
  4. Step 4: Simplify right side
    136,713.96x = 7,837,429,671.32
  5. Step 5: Solve for x
    x = 7,837,429,671.32/136,713.96
  6. Step 6: Final answer
    x = 57,327.21

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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.