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Finding the Fourth Proportional to 277,641.28, 383,143.74 and 156,781.24

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Solution

The fourth proportional to 277,641.28, 383,143.74 and 156,781.24 is: 216,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,641.28 : 383,143.74 = 156,781.24 : x
  2. Step 2: Convert to fraction form
    277,641.28/383,143.74 = 156,781.24/x
  3. Step 3: Cross multiply
    277,641.28x = 383,143.74 × 156,781.24
  4. Step 4: Simplify right side
    277,641.28x = 60,069,750,655.44
  5. Step 5: Solve for x
    x = 60,069,750,655.44/277,641.28
  6. Step 6: Final answer
    x = 216,357.42

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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.