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Finding the Fourth Proportional to 283,242.58, 424,717.56 and 83,537.56

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Solution

The fourth proportional to 283,242.58, 424,717.56 and 83,537.56 is: 125,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,242.58 : 424,717.56 = 83,537.56 : x
  2. Step 2: Convert to fraction form
    283,242.58/424,717.56 = 83,537.56/x
  3. Step 3: Cross multiply
    283,242.58x = 424,717.56 × 83,537.56
  4. Step 4: Simplify right side
    283,242.58x = 35,479,868,651.55
  5. Step 5: Solve for x
    x = 35,479,868,651.55/283,242.58
  6. Step 6: Final answer
    x = 125,263.19

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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.