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Finding the Fourth Proportional to 564,112.98, 846,158.55 and 137,651.58

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Solution

The fourth proportional to 564,112.98, 846,158.55 and 137,651.58 is: 206,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,112.98 : 846,158.55 = 137,651.58 : x
  2. Step 2: Convert to fraction form
    564,112.98/846,158.55 = 137,651.58/x
  3. Step 3: Cross multiply
    564,112.98x = 846,158.55 × 137,651.58
  4. Step 4: Simplify right side
    564,112.98x = 116,475,061,338.01
  5. Step 5: Solve for x
    x = 116,475,061,338.01/564,112.98
  6. Step 6: Final answer
    x = 206,474.71

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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.