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Finding the Fourth Proportional to 281,257.34, 388,132.84 and 153,932.63

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Solution

The fourth proportional to 281,257.34, 388,132.84 and 153,932.63 is: 212,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,257.34 : 388,132.84 = 153,932.63 : x
  2. Step 2: Convert to fraction form
    281,257.34/388,132.84 = 153,932.63/x
  3. Step 3: Cross multiply
    281,257.34x = 388,132.84 × 153,932.63
  4. Step 4: Simplify right side
    281,257.34x = 59,746,308,850.57
  5. Step 5: Solve for x
    x = 59,746,308,850.57/281,257.34
  6. Step 6: Final answer
    x = 212,425.78

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1.5x scale

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.