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Finding the Fourth Proportional to 281,888.29, 422,894.64 and 82,224.31

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Solution

The fourth proportional to 281,888.29, 422,894.64 and 82,224.31 is: 123,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,888.29 : 422,894.64 = 82,224.31 : x
  2. Step 2: Convert to fraction form
    281,888.29/422,894.64 = 82,224.31/x
  3. Step 3: Cross multiply
    281,888.29x = 422,894.64 × 82,224.31
  4. Step 4: Simplify right side
    281,888.29x = 34,772,218,715.71
  5. Step 5: Solve for x
    x = 34,772,218,715.71/281,888.29
  6. Step 6: Final answer
    x = 123,354.60

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1.5x scale

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.