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Finding the Fourth Proportional to 256,292.28, 353,681.93 and 141,578.80

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Solution

The fourth proportional to 256,292.28, 353,681.93 and 141,578.80 is: 195,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,292.28 : 353,681.93 = 141,578.80 : x
  2. Step 2: Convert to fraction form
    256,292.28/353,681.93 = 141,578.80/x
  3. Step 3: Cross multiply
    256,292.28x = 353,681.93 × 141,578.80
  4. Step 4: Simplify right side
    256,292.28x = 50,073,862,700.83
  5. Step 5: Solve for x
    x = 50,073,862,700.83/256,292.28
  6. Step 6: Final answer
    x = 195,377.96

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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.