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Finding the Fourth Proportional to 100,129.56, 138,031.56 and 76,214.60

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Solution

The fourth proportional to 100,129.56, 138,031.56 and 76,214.60 is: 105,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129.56 : 138,031.56 = 76,214.60 : x
  2. Step 2: Convert to fraction form
    100,129.56/138,031.56 = 76,214.60/x
  3. Step 3: Cross multiply
    100,129.56x = 138,031.56 × 76,214.60
  4. Step 4: Simplify right side
    100,129.56x = 10,520,020,132.78
  5. Step 5: Solve for x
    x = 10,520,020,132.78/100,129.56
  6. Step 6: Final answer
    x = 105,064.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.