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Finding the Fourth Proportional to 256,377.43, 353,807.99 and 141,663.50

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Solution

The fourth proportional to 256,377.43, 353,807.99 and 141,663.50 is: 195,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,377.43 : 353,807.99 = 141,663.50 : x
  2. Step 2: Convert to fraction form
    256,377.43/353,807.99 = 141,663.50/x
  3. Step 3: Cross multiply
    256,377.43x = 353,807.99 × 141,663.50
  4. Step 4: Simplify right side
    256,377.43x = 50,121,676,776.48
  5. Step 5: Solve for x
    x = 50,121,676,776.48/256,377.43
  6. Step 6: Final answer
    x = 195,499.57

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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.