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Finding the Fourth Proportional to 283,531.68, 425,380.68 and 83,857.32

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Solution

The fourth proportional to 283,531.68, 425,380.68 and 83,857.32 is: 125,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,531.68 : 425,380.68 = 83,857.32 : x
  2. Step 2: Convert to fraction form
    283,531.68/425,380.68 = 83,857.32/x
  3. Step 3: Cross multiply
    283,531.68x = 425,380.68 × 83,857.32
  4. Step 4: Simplify right side
    283,531.68x = 35,671,283,804.58
  5. Step 5: Solve for x
    x = 35,671,283,804.58/283,531.68
  6. Step 6: Final answer
    x = 125,810.58

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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.