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Finding the Fourth Proportional to 136,741.52, 188,695.41 and 76,307.42

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Solution

The fourth proportional to 136,741.52, 188,695.41 and 76,307.42 is: 105,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,741.52 : 188,695.41 = 76,307.42 : x
  2. Step 2: Convert to fraction form
    136,741.52/188,695.41 = 76,307.42/x
  3. Step 3: Cross multiply
    136,741.52x = 188,695.41 × 76,307.42
  4. Step 4: Simplify right side
    136,741.52x = 14,398,858,959.47
  5. Step 5: Solve for x
    x = 14,398,858,959.47/136,741.52
  6. Step 6: Final answer
    x = 105,299.83

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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.