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Finding the Fourth Proportional to 283,759.71, 425,701.86 and 84,095.76

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Solution

The fourth proportional to 283,759.71, 425,701.86 and 84,095.76 is: 126,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,759.71 : 425,701.86 = 84,095.76 : x
  2. Step 2: Convert to fraction form
    283,759.71/425,701.86 = 84,095.76/x
  3. Step 3: Cross multiply
    283,759.71x = 425,701.86 × 84,095.76
  4. Step 4: Simplify right side
    283,759.71x = 35,799,721,450.11
  5. Step 5: Solve for x
    x = 35,799,721,450.11/283,759.71
  6. Step 6: Final answer
    x = 126,162.10

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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.