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Finding the Fourth Proportional to 283,367.19, 425,096.82 and 83,707.68

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Solution

The fourth proportional to 283,367.19, 425,096.82 and 83,707.68 is: 125,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,367.19 : 425,096.82 = 83,707.68 : x
  2. Step 2: Convert to fraction form
    283,367.19/425,096.82 = 83,707.68/x
  3. Step 3: Cross multiply
    283,367.19x = 425,096.82 × 83,707.68
  4. Step 4: Simplify right side
    283,367.19x = 35,583,868,577.58
  5. Step 5: Solve for x
    x = 35,583,868,577.58/283,367.19
  6. Step 6: Final answer
    x = 125,575.12

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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.