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Finding the Fourth Proportional to 564,109.98, 846,154.05 and 137,648.58

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Solution

The fourth proportional to 564,109.98, 846,154.05 and 137,648.58 is: 206,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,109.98 : 846,154.05 = 137,648.58 : x
  2. Step 2: Convert to fraction form
    564,109.98/846,154.05 = 137,648.58/x
  3. Step 3: Cross multiply
    564,109.98x = 846,154.05 × 137,648.58
  4. Step 4: Simplify right side
    564,109.98x = 116,471,903,443.75
  5. Step 5: Solve for x
    x = 116,471,903,443.75/564,109.98
  6. Step 6: Final answer
    x = 206,470.21

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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.