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Finding the Fourth Proportional to 281,641.32, 388,701.18 and 160,754.90

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Solution

The fourth proportional to 281,641.32, 388,701.18 and 160,754.90 is: 221,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641.32 : 388,701.18 = 160,754.90 : x
  2. Step 2: Convert to fraction form
    281,641.32/388,701.18 = 160,754.90/x
  3. Step 3: Cross multiply
    281,641.32x = 388,701.18 × 160,754.90
  4. Step 4: Simplify right side
    281,641.32x = 62,485,617,377.28
  5. Step 5: Solve for x
    x = 62,485,617,377.28/281,641.32
  6. Step 6: Final answer
    x = 221,862.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.