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Finding the Fourth Proportional to 287,158.56, 396,270 and 159,830.88

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Solution

The fourth proportional to 287,158.56, 396,270 and 159,830.88 is: 220,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,158.56 : 396,270 = 159,830.88 : x
  2. Step 2: Convert to fraction form
    287,158.56/396,270 = 159,830.88/x
  3. Step 3: Cross multiply
    287,158.56x = 396,270 × 159,830.88
  4. Step 4: Simplify right side
    287,158.56x = 63,336,182,817.60
  5. Step 5: Solve for x
    x = 63,336,182,817.60/287,158.56
  6. Step 6: Final answer
    x = 220,561.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.