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Finding the Fourth Proportional to 256,506.30, 353,967.63 and 141,778.98

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Solution

The fourth proportional to 256,506.30, 353,967.63 and 141,778.98 is: 195,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,506.30 : 353,967.63 = 141,778.98 : x
  2. Step 2: Convert to fraction form
    256,506.30/353,967.63 = 141,778.98/x
  3. Step 3: Cross multiply
    256,506.30x = 353,967.63 × 141,778.98
  4. Step 4: Simplify right side
    256,506.30x = 50,185,169,534.42
  5. Step 5: Solve for x
    x = 50,185,169,534.42/256,506.30
  6. Step 6: Final answer
    x = 195,648.88

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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.