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Finding the Fourth Proportional to 256,101.68, 353,406.02 and 142,931.72

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Solution

The fourth proportional to 256,101.68, 353,406.02 and 142,931.72 is: 197,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.68 : 353,406.02 = 142,931.72 : x
  2. Step 2: Convert to fraction form
    256,101.68/353,406.02 = 142,931.72/x
  3. Step 3: Cross multiply
    256,101.68x = 353,406.02 × 142,931.72
  4. Step 4: Simplify right side
    256,101.68x = 50,512,930,296.95
  5. Step 5: Solve for x
    x = 50,512,930,296.95/256,101.68
  6. Step 6: Final answer
    x = 197,237.79

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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.