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Finding the Fourth Proportional to 283,159.58, 424,729.65 and 83,471.90

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Solution

The fourth proportional to 283,159.58, 424,729.65 and 83,471.90 is: 125,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,159.58 : 424,729.65 = 83,471.90 : x
  2. Step 2: Convert to fraction form
    283,159.58/424,729.65 = 83,471.90/x
  3. Step 3: Cross multiply
    283,159.58x = 424,729.65 × 83,471.90
  4. Step 4: Simplify right side
    283,159.58x = 35,452,990,871.84
  5. Step 5: Solve for x
    x = 35,452,990,871.84/283,159.58
  6. Step 6: Final answer
    x = 125,204.98

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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.