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Finding the Fourth Proportional to 281,488.64, 422,276.72 and 94,543.88

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Solution

The fourth proportional to 281,488.64, 422,276.72 and 94,543.88 is: 141,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,488.64 : 422,276.72 = 94,543.88 : x
  2. Step 2: Convert to fraction form
    281,488.64/422,276.72 = 94,543.88/x
  3. Step 3: Cross multiply
    281,488.64x = 422,276.72 × 94,543.88
  4. Step 4: Simplify right side
    281,488.64x = 39,923,679,542.47
  5. Step 5: Solve for x
    x = 39,923,679,542.47/281,488.64
  6. Step 6: Final answer
    x = 141,830.52

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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.