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Finding the Fourth Proportional to 280,438.24, 387,001.84 and 153,113.44

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Solution

The fourth proportional to 280,438.24, 387,001.84 and 153,113.44 is: 211,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438.24 : 387,001.84 = 153,113.44 : x
  2. Step 2: Convert to fraction form
    280,438.24/387,001.84 = 153,113.44/x
  3. Step 3: Cross multiply
    280,438.24x = 387,001.84 × 153,113.44
  4. Step 4: Simplify right side
    280,438.24x = 59,255,183,008.73
  5. Step 5: Solve for x
    x = 59,255,183,008.73/280,438.24
  6. Step 6: Final answer
    x = 211,294.95

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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.