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Finding the Fourth Proportional to 207,227.64, 285,948.59 and 130,717.86

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Solution

The fourth proportional to 207,227.64, 285,948.59 and 130,717.86 is: 180,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227.64 : 285,948.59 = 130,717.86 : x
  2. Step 2: Convert to fraction form
    207,227.64/285,948.59 = 130,717.86/x
  3. Step 3: Cross multiply
    207,227.64x = 285,948.59 × 130,717.86
  4. Step 4: Simplify right side
    207,227.64x = 37,378,587,754.82
  5. Step 5: Solve for x
    x = 37,378,587,754.82/207,227.64
  6. Step 6: Final answer
    x = 180,374.53

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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.