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Finding the Fourth Proportional to 256,554.64, 354,014.72 and 141,817.78

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Solution

The fourth proportional to 256,554.64, 354,014.72 and 141,817.78 is: 195,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554.64 : 354,014.72 = 141,817.78 : x
  2. Step 2: Convert to fraction form
    256,554.64/354,014.72 = 141,817.78/x
  3. Step 3: Cross multiply
    256,554.64x = 354,014.72 × 141,817.78
  4. Step 4: Simplify right side
    256,554.64x = 50,205,581,677.72
  5. Step 5: Solve for x
    x = 50,205,581,677.72/256,554.64
  6. Step 6: Final answer
    x = 195,691.58

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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.