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Finding the Fourth Proportional to 256,097.70, 353,434.41 and 141,398.46

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Solution

The fourth proportional to 256,097.70, 353,434.41 and 141,398.46 is: 195,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.70 : 353,434.41 = 141,398.46 : x
  2. Step 2: Convert to fraction form
    256,097.70/353,434.41 = 141,398.46/x
  3. Step 3: Cross multiply
    256,097.70x = 353,434.41 × 141,398.46
  4. Step 4: Simplify right side
    256,097.70x = 49,975,081,285.01
  5. Step 5: Solve for x
    x = 49,975,081,285.01/256,097.70
  6. Step 6: Final answer
    x = 195,140.69

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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.