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Finding the Fourth Proportional to 146,617.80, 219,905.10 and 41,447.40

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Solution

The fourth proportional to 146,617.80, 219,905.10 and 41,447.40 is: 62,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,617.80 : 219,905.10 = 41,447.40 : x
  2. Step 2: Convert to fraction form
    146,617.80/219,905.10 = 41,447.40/x
  3. Step 3: Cross multiply
    146,617.80x = 219,905.10 × 41,447.40
  4. Step 4: Simplify right side
    146,617.80x = 9,114,494,641.74
  5. Step 5: Solve for x
    x = 9,114,494,641.74/146,617.80
  6. Step 6: Final answer
    x = 62,164.99

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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.