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Finding the Fourth Proportional to 295,767.14, 443,725.35 and 82,534.88

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Solution

The fourth proportional to 295,767.14, 443,725.35 and 82,534.88 is: 123,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,767.14 : 443,725.35 = 82,534.88 : x
  2. Step 2: Convert to fraction form
    295,767.14/443,725.35 = 82,534.88/x
  3. Step 3: Cross multiply
    295,767.14x = 443,725.35 × 82,534.88
  4. Step 4: Simplify right side
    295,767.14x = 36,622,816,502.92
  5. Step 5: Solve for x
    x = 36,622,816,502.92/295,767.14
  6. Step 6: Final answer
    x = 123,823.14

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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.