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Finding the Fourth Proportional to 256,099.70, 353,437.17 and 141,400.46

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Solution

The fourth proportional to 256,099.70, 353,437.17 and 141,400.46 is: 195,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.70 : 353,437.17 = 141,400.46 : x
  2. Step 2: Convert to fraction form
    256,099.70/353,437.17 = 141,400.46/x
  3. Step 3: Cross multiply
    256,099.70x = 353,437.17 × 141,400.46
  4. Step 4: Simplify right side
    256,099.70x = 49,976,178,419.10
  5. Step 5: Solve for x
    x = 49,976,178,419.10/256,099.70
  6. Step 6: Final answer
    x = 195,143.45

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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.