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Finding the Fourth Proportional to 564,110.98, 846,155.55 and 137,649.58

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Solution

The fourth proportional to 564,110.98, 846,155.55 and 137,649.58 is: 206,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,110.98 : 846,155.55 = 137,649.58 : x
  2. Step 2: Convert to fraction form
    564,110.98/846,155.55 = 137,649.58/x
  3. Step 3: Cross multiply
    564,110.98x = 846,155.55 × 137,649.58
  4. Step 4: Simplify right side
    564,110.98x = 116,472,956,072.17
  5. Step 5: Solve for x
    x = 116,472,956,072.17/564,110.98
  6. Step 6: Final answer
    x = 206,471.71

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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.