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Finding the Fourth Proportional to 256,480.17, 353,960.96 and 141,756.35

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Solution

The fourth proportional to 256,480.17, 353,960.96 and 141,756.35 is: 195,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,480.17 : 353,960.96 = 141,756.35 : x
  2. Step 2: Convert to fraction form
    256,480.17/353,960.96 = 141,756.35/x
  3. Step 3: Cross multiply
    256,480.17x = 353,960.96 × 141,756.35
  4. Step 4: Simplify right side
    256,480.17x = 50,176,211,253.51
  5. Step 5: Solve for x
    x = 50,176,211,253.51/256,480.17
  6. Step 6: Final answer
    x = 195,633.88

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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.