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Finding the Fourth Proportional to 282,354.42, 423,614.56 and 113,787.98

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Solution

The fourth proportional to 282,354.42, 423,614.56 and 113,787.98 is: 170,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,354.42 : 423,614.56 = 113,787.98 : x
  2. Step 2: Convert to fraction form
    282,354.42/423,614.56 = 113,787.98/x
  3. Step 3: Cross multiply
    282,354.42x = 423,614.56 × 113,787.98
  4. Step 4: Simplify right side
    282,354.42x = 48,202,245,080.99
  5. Step 5: Solve for x
    x = 48,202,245,080.99/282,354.42
  6. Step 6: Final answer
    x = 170,715.39

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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.