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Finding the Fourth Proportional to 281,292.95, 388,180.35 and 160,436.30

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Solution

The fourth proportional to 281,292.95, 388,180.35 and 160,436.30 is: 221,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,292.95 : 388,180.35 = 160,436.30 : x
  2. Step 2: Convert to fraction form
    281,292.95/388,180.35 = 160,436.30/x
  3. Step 3: Cross multiply
    281,292.95x = 388,180.35 × 160,436.30
  4. Step 4: Simplify right side
    281,292.95x = 62,278,217,145.80
  5. Step 5: Solve for x
    x = 62,278,217,145.80/281,292.95
  6. Step 6: Final answer
    x = 221,399.85

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