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Finding the Fourth Proportional to 256,019.11, 353,141.90 and 155,417.11

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Solution

The fourth proportional to 256,019.11, 353,141.90 and 155,417.11 is: 214,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,019.11 : 353,141.90 = 155,417.11 : x
  2. Step 2: Convert to fraction form
    256,019.11/353,141.90 = 155,417.11/x
  3. Step 3: Cross multiply
    256,019.11x = 353,141.90 × 155,417.11
  4. Step 4: Simplify right side
    256,019.11x = 54,884,293,517.91
  5. Step 5: Solve for x
    x = 54,884,293,517.91/256,019.11
  6. Step 6: Final answer
    x = 214,375.77

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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.