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Finding the Fourth Proportional to 278,426.16, 384,222.64 and 157,565.20

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Solution

The fourth proportional to 278,426.16, 384,222.64 and 157,565.20 is: 217,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,426.16 : 384,222.64 = 157,565.20 : x
  2. Step 2: Convert to fraction form
    278,426.16/384,222.64 = 157,565.20/x
  3. Step 3: Cross multiply
    278,426.16x = 384,222.64 × 157,565.20
  4. Step 4: Simplify right side
    278,426.16x = 60,540,117,116.13
  5. Step 5: Solve for x
    x = 60,540,117,116.13/278,426.16
  6. Step 6: Final answer
    x = 217,436.89

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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.