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Finding the Fourth Proportional to 138,562.12, 207,865.08 and 45,046

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Solution

The fourth proportional to 138,562.12, 207,865.08 and 45,046 is: 67,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562.12 : 207,865.08 = 45,046 : x
  2. Step 2: Convert to fraction form
    138,562.12/207,865.08 = 45,046/x
  3. Step 3: Cross multiply
    138,562.12x = 207,865.08 × 45,046
  4. Step 4: Simplify right side
    138,562.12x = 9,363,490,393.68
  5. Step 5: Solve for x
    x = 9,363,490,393.68/138,562.12
  6. Step 6: Final answer
    x = 67,576.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.