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Finding the Fourth Proportional to 281,630.10, 422,437.77 and 94,641.54

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Solution

The fourth proportional to 281,630.10, 422,437.77 and 94,641.54 is: 141,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,630.10 : 422,437.77 = 94,641.54 : x
  2. Step 2: Convert to fraction form
    281,630.10/422,437.77 = 94,641.54/x
  3. Step 3: Cross multiply
    281,630.10x = 422,437.77 × 94,641.54
  4. Step 4: Simplify right side
    281,630.10x = 39,980,161,106.97
  5. Step 5: Solve for x
    x = 39,980,161,106.97/281,630.10
  6. Step 6: Final answer
    x = 141,959.83

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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.