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Finding the Fourth Proportional to 173,638.60, 261,041.10 and 147,977.80

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Solution

The fourth proportional to 173,638.60, 261,041.10 and 147,977.80 is: 222,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,638.60 : 261,041.10 = 147,977.80 : x
  2. Step 2: Convert to fraction form
    173,638.60/261,041.10 = 147,977.80/x
  3. Step 3: Cross multiply
    173,638.60x = 261,041.10 × 147,977.80
  4. Step 4: Simplify right side
    173,638.60x = 38,628,287,687.58
  5. Step 5: Solve for x
    x = 38,628,287,687.58/173,638.60
  6. Step 6: Final answer
    x = 222,463.71

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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.