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Finding the Fourth Proportional to 136,732.14, 188,690.40 and 75,478.38

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Solution

The fourth proportional to 136,732.14, 188,690.40 and 75,478.38 is: 104,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,732.14 : 188,690.40 = 75,478.38 : x
  2. Step 2: Convert to fraction form
    136,732.14/188,690.40 = 75,478.38/x
  3. Step 3: Cross multiply
    136,732.14x = 188,690.40 × 75,478.38
  4. Step 4: Simplify right side
    136,732.14x = 14,242,045,713.55
  5. Step 5: Solve for x
    x = 14,242,045,713.55/136,732.14
  6. Step 6: Final answer
    x = 104,160.19

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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.