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Finding the Fourth Proportional to 283,903.12, 425,854.86 and 159,331.60

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Solution

The fourth proportional to 283,903.12, 425,854.86 and 159,331.60 is: 238,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,903.12 : 425,854.86 = 159,331.60 : x
  2. Step 2: Convert to fraction form
    283,903.12/425,854.86 = 159,331.60/x
  3. Step 3: Cross multiply
    283,903.12x = 425,854.86 × 159,331.60
  4. Step 4: Simplify right side
    283,903.12x = 67,852,136,211.58
  5. Step 5: Solve for x
    x = 67,852,136,211.58/283,903.12
  6. Step 6: Final answer
    x = 238,997.50

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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.