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Finding the Fourth Proportional to 137,441.84, 206,159.52 and 43,948.40

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Solution

The fourth proportional to 137,441.84, 206,159.52 and 43,948.40 is: 65,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,441.84 : 206,159.52 = 43,948.40 : x
  2. Step 2: Convert to fraction form
    137,441.84/206,159.52 = 43,948.40/x
  3. Step 3: Cross multiply
    137,441.84x = 206,159.52 × 43,948.40
  4. Step 4: Simplify right side
    137,441.84x = 9,060,381,048.77
  5. Step 5: Solve for x
    x = 9,060,381,048.77/137,441.84
  6. Step 6: Final answer
    x = 65,921.56

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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.