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Finding the Fourth Proportional to 256,086.91, 353,416.29 and 142,909.66

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Solution

The fourth proportional to 256,086.91, 353,416.29 and 142,909.66 is: 197,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,086.91 : 353,416.29 = 142,909.66 : x
  2. Step 2: Convert to fraction form
    256,086.91/353,416.29 = 142,909.66/x
  3. Step 3: Cross multiply
    256,086.91x = 353,416.29 × 142,909.66
  4. Step 4: Simplify right side
    256,086.91x = 50,506,600,422.91
  5. Step 5: Solve for x
    x = 50,506,600,422.91/256,086.91
  6. Step 6: Final answer
    x = 197,224.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.