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Finding the Fourth Proportional to 281,752.80, 422,655.26 and 101,883.12

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Solution

The fourth proportional to 281,752.80, 422,655.26 and 101,883.12 is: 152,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,752.80 : 422,655.26 = 101,883.12 : x
  2. Step 2: Convert to fraction form
    281,752.80/422,655.26 = 101,883.12/x
  3. Step 3: Cross multiply
    281,752.80x = 422,655.26 × 101,883.12
  4. Step 4: Simplify right side
    281,752.80x = 43,061,436,573.21
  5. Step 5: Solve for x
    x = 43,061,436,573.21/281,752.80
  6. Step 6: Final answer
    x = 152,834.10

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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.