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Finding the Fourth Proportional to 202,832.20, 304,497.90 and 127,952.20

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Solution

The fourth proportional to 202,832.20, 304,497.90 and 127,952.20 is: 192,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,832.20 : 304,497.90 = 127,952.20 : x
  2. Step 2: Convert to fraction form
    202,832.20/304,497.90 = 127,952.20/x
  3. Step 3: Cross multiply
    202,832.20x = 304,497.90 × 127,952.20
  4. Step 4: Simplify right side
    202,832.20x = 38,961,176,200.38
  5. Step 5: Solve for x
    x = 38,961,176,200.38/202,832.20
  6. Step 6: Final answer
    x = 192,085.75

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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.