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Finding the Fourth Proportional to 256,506.61, 353,972.92 and 140,214.91

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Solution

The fourth proportional to 256,506.61, 353,972.92 and 140,214.91 is: 193,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,506.61 : 353,972.92 = 140,214.91 : x
  2. Step 2: Convert to fraction form
    256,506.61/353,972.92 = 140,214.91/x
  3. Step 3: Cross multiply
    256,506.61x = 353,972.92 × 140,214.91
  4. Step 4: Simplify right side
    256,506.61x = 49,632,281,120.24
  5. Step 5: Solve for x
    x = 49,632,281,120.24/256,506.61
  6. Step 6: Final answer
    x = 193,493.19

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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.