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Finding the Fourth Proportional to 283,282.76, 424,925.18 and 105,787.88

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Solution

The fourth proportional to 283,282.76, 424,925.18 and 105,787.88 is: 158,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,282.76 : 424,925.18 = 105,787.88 : x
  2. Step 2: Convert to fraction form
    283,282.76/424,925.18 = 105,787.88/x
  3. Step 3: Cross multiply
    283,282.76x = 424,925.18 × 105,787.88
  4. Step 4: Simplify right side
    283,282.76x = 44,951,933,950.82
  5. Step 5: Solve for x
    x = 44,951,933,950.82/283,282.76
  6. Step 6: Final answer
    x = 158,682.21

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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.