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Finding the Fourth Proportional to 283,526.52, 425,372.82 and 83,852.10

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Solution

The fourth proportional to 283,526.52, 425,372.82 and 83,852.10 is: 125,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,526.52 : 425,372.82 = 83,852.10 : x
  2. Step 2: Convert to fraction form
    283,526.52/425,372.82 = 83,852.10/x
  3. Step 3: Cross multiply
    283,526.52x = 425,372.82 × 83,852.10
  4. Step 4: Simplify right side
    283,526.52x = 35,668,404,239.92
  5. Step 5: Solve for x
    x = 35,668,404,239.92/283,526.52
  6. Step 6: Final answer
    x = 125,802.71

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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.