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Finding the Fourth Proportional to 125,209.98, 187,845.75 and 36,464.31

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Solution

The fourth proportional to 125,209.98, 187,845.75 and 36,464.31 is: 54,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209.98 : 187,845.75 = 36,464.31 : x
  2. Step 2: Convert to fraction form
    125,209.98/187,845.75 = 36,464.31/x
  3. Step 3: Cross multiply
    125,209.98x = 187,845.75 × 36,464.31
  4. Step 4: Simplify right side
    125,209.98x = 6,849,665,660.18
  5. Step 5: Solve for x
    x = 6,849,665,660.18/125,209.98
  6. Step 6: Final answer
    x = 54,705.43

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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.