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Finding the Fourth Proportional to 237,712.64, 327,854.44 and 202,020.80

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Solution

The fourth proportional to 237,712.64, 327,854.44 and 202,020.80 is: 278,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,712.64 : 327,854.44 = 202,020.80 : x
  2. Step 2: Convert to fraction form
    237,712.64/327,854.44 = 202,020.80/x
  3. Step 3: Cross multiply
    237,712.64x = 327,854.44 × 202,020.80
  4. Step 4: Simplify right side
    237,712.64x = 66,233,416,252.35
  5. Step 5: Solve for x
    x = 66,233,416,252.35/237,712.64
  6. Step 6: Final answer
    x = 278,628.08

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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.