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Finding the Fourth Proportional to 256,229.46, 353,597.25 and 141,506.01

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Solution

The fourth proportional to 256,229.46, 353,597.25 and 141,506.01 is: 195,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,229.46 : 353,597.25 = 141,506.01 : x
  2. Step 2: Convert to fraction form
    256,229.46/353,597.25 = 141,506.01/x
  3. Step 3: Cross multiply
    256,229.46x = 353,597.25 × 141,506.01
  4. Step 4: Simplify right side
    256,229.46x = 50,036,135,994.47
  5. Step 5: Solve for x
    x = 50,036,135,994.47/256,229.46
  6. Step 6: Final answer
    x = 195,278.62

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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.