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Finding the Fourth Proportional to 283,243.91, 424,719.45 and 83,538.81

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Solution

The fourth proportional to 283,243.91, 424,719.45 and 83,538.81 is: 125,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,243.91 : 424,719.45 = 83,538.81 : x
  2. Step 2: Convert to fraction form
    283,243.91/424,719.45 = 83,538.81/x
  3. Step 3: Cross multiply
    283,243.91x = 424,719.45 × 83,538.81
  4. Step 4: Simplify right side
    283,243.91x = 35,480,557,436.85
  5. Step 5: Solve for x
    x = 35,480,557,436.85/283,243.91
  6. Step 6: Final answer
    x = 125,265.03

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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.