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Finding the Fourth Proportional to 256,031.37, 353,446.20 and 148,584.06

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Solution

The fourth proportional to 256,031.37, 353,446.20 and 148,584.06 is: 205,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,031.37 : 353,446.20 = 148,584.06 : x
  2. Step 2: Convert to fraction form
    256,031.37/353,446.20 = 148,584.06/x
  3. Step 3: Cross multiply
    256,031.37x = 353,446.20 × 148,584.06
  4. Step 4: Simplify right side
    256,031.37x = 52,516,471,387.57
  5. Step 5: Solve for x
    x = 52,516,471,387.57/256,031.37
  6. Step 6: Final answer
    x = 205,117.33

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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.