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Finding the Fourth Proportional to 256,099.93, 353,423.54 and 141,378.30

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Solution

The fourth proportional to 256,099.93, 353,423.54 and 141,378.30 is: 195,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.93 : 353,423.54 = 141,378.30 : x
  2. Step 2: Convert to fraction form
    256,099.93/353,423.54 = 141,378.30/x
  3. Step 3: Cross multiply
    256,099.93x = 353,423.54 × 141,378.30
  4. Step 4: Simplify right side
    256,099.93x = 49,966,419,618.63
  5. Step 5: Solve for x
    x = 49,966,419,618.63/256,099.93
  6. Step 6: Final answer
    x = 195,105.17

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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.