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Finding the Fourth Proportional to 136,538.90, 188,424.57 and 76,113.38

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Solution

The fourth proportional to 136,538.90, 188,424.57 and 76,113.38 is: 105,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,538.90 : 188,424.57 = 76,113.38 : x
  2. Step 2: Convert to fraction form
    136,538.90/188,424.57 = 76,113.38/x
  3. Step 3: Cross multiply
    136,538.90x = 188,424.57 × 76,113.38
  4. Step 4: Simplify right side
    136,538.90x = 14,341,630,897.75
  5. Step 5: Solve for x
    x = 14,341,630,897.75/136,538.90
  6. Step 6: Final answer
    x = 105,036.96

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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.