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Finding the Fourth Proportional to 202,952.68, 280,064.76 and 112,306.96

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Solution

The fourth proportional to 202,952.68, 280,064.76 and 112,306.96 is: 154,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.68 : 280,064.76 = 112,306.96 : x
  2. Step 2: Convert to fraction form
    202,952.68/280,064.76 = 112,306.96/x
  3. Step 3: Cross multiply
    202,952.68x = 280,064.76 × 112,306.96
  4. Step 4: Simplify right side
    202,952.68x = 31,453,221,798.73
  5. Step 5: Solve for x
    x = 31,453,221,798.73/202,952.68
  6. Step 6: Final answer
    x = 154,978.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.