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Finding the Fourth Proportional to 92,034.10, 138,051.15 and 75,412.90

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Solution

The fourth proportional to 92,034.10, 138,051.15 and 75,412.90 is: 113,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034.10 : 138,051.15 = 75,412.90 : x
  2. Step 2: Convert to fraction form
    92,034.10/138,051.15 = 75,412.90/x
  3. Step 3: Cross multiply
    92,034.10x = 138,051.15 × 75,412.90
  4. Step 4: Simplify right side
    92,034.10x = 10,410,837,569.84
  5. Step 5: Solve for x
    x = 10,410,837,569.84/92,034.10
  6. Step 6: Final answer
    x = 113,119.35

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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.