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Finding the Fourth Proportional to 256,114.71, 383,861.03 and 181,256.74

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Solution

The fourth proportional to 256,114.71, 383,861.03 and 181,256.74 is: 271,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.71 : 383,861.03 = 181,256.74 : x
  2. Step 2: Convert to fraction form
    256,114.71/383,861.03 = 181,256.74/x
  3. Step 3: Cross multiply
    256,114.71x = 383,861.03 × 181,256.74
  4. Step 4: Simplify right side
    256,114.71x = 69,577,397,044.91
  5. Step 5: Solve for x
    x = 69,577,397,044.91/256,114.71
  6. Step 6: Final answer
    x = 271,664.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.