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Finding the Fourth Proportional to 137,026.38, 189,092.43 and 76,597.14

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Solution

The fourth proportional to 137,026.38, 189,092.43 and 76,597.14 is: 105,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,026.38 : 189,092.43 = 76,597.14 : x
  2. Step 2: Convert to fraction form
    137,026.38/189,092.43 = 76,597.14/x
  3. Step 3: Cross multiply
    137,026.38x = 189,092.43 × 76,597.14
  4. Step 4: Simplify right side
    137,026.38x = 14,483,939,333.65
  5. Step 5: Solve for x
    x = 14,483,939,333.65/137,026.38
  6. Step 6: Final answer
    x = 105,701.83

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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.