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Finding the Fourth Proportional to 275,342.12, 413,013.20 and 97,856.13

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Solution

The fourth proportional to 275,342.12, 413,013.20 and 97,856.13 is: 146,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,342.12 : 413,013.20 = 97,856.13 : x
  2. Step 2: Convert to fraction form
    275,342.12/413,013.20 = 97,856.13/x
  3. Step 3: Cross multiply
    275,342.12x = 413,013.20 × 97,856.13
  4. Step 4: Simplify right side
    275,342.12x = 40,415,873,390.92
  5. Step 5: Solve for x
    x = 40,415,873,390.92/275,342.12
  6. Step 6: Final answer
    x = 146,784.20

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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.