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Finding the Fourth Proportional to 283,565.67, 425,348.49 and 83,870.52

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Solution

The fourth proportional to 283,565.67, 425,348.49 and 83,870.52 is: 125,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,565.67 : 425,348.49 = 83,870.52 : x
  2. Step 2: Convert to fraction form
    283,565.67/425,348.49 = 83,870.52/x
  3. Step 3: Cross multiply
    283,565.67x = 425,348.49 × 83,870.52
  4. Step 4: Simplify right side
    283,565.67x = 35,674,199,037.51
  5. Step 5: Solve for x
    x = 35,674,199,037.51/283,565.67
  6. Step 6: Final answer
    x = 125,805.78

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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.