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Finding the Fourth Proportional to 283,139.64, 424,713.51 and 72,777.78

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Solution

The fourth proportional to 283,139.64, 424,713.51 and 72,777.78 is: 109,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,139.64 : 424,713.51 = 72,777.78 : x
  2. Step 2: Convert to fraction form
    283,139.64/424,713.51 = 72,777.78/x
  3. Step 3: Cross multiply
    283,139.64x = 424,713.51 × 72,777.78
  4. Step 4: Simplify right side
    283,139.64x = 30,909,706,393.81
  5. Step 5: Solve for x
    x = 30,909,706,393.81/283,139.64
  6. Step 6: Final answer
    x = 109,167.71

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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.