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Finding the Fourth Proportional to 256,401.50, 353,815.80 and 141,678.90

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Solution

The fourth proportional to 256,401.50, 353,815.80 and 141,678.90 is: 195,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,401.50 : 353,815.80 = 141,678.90 : x
  2. Step 2: Convert to fraction form
    256,401.50/353,815.80 = 141,678.90/x
  3. Step 3: Cross multiply
    256,401.50x = 353,815.80 × 141,678.90
  4. Step 4: Simplify right side
    256,401.50x = 50,128,233,346.62
  5. Step 5: Solve for x
    x = 50,128,233,346.62/256,401.50
  6. Step 6: Final answer
    x = 195,506.79

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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.