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Finding the Fourth Proportional to 256,225.93, 353,592.38 and 141,502.48

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Solution

The fourth proportional to 256,225.93, 353,592.38 and 141,502.48 is: 195,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,225.93 : 353,592.38 = 141,502.48 : x
  2. Step 2: Convert to fraction form
    256,225.93/353,592.38 = 141,502.48/x
  3. Step 3: Cross multiply
    256,225.93x = 353,592.38 × 141,502.48
  4. Step 4: Simplify right side
    256,225.93x = 50,034,198,679.10
  5. Step 5: Solve for x
    x = 50,034,198,679.10/256,225.93
  6. Step 6: Final answer
    x = 195,273.75

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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.