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Finding the Fourth Proportional to 256,156.25, 353,723.13 and 159,526.04

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Solution

The fourth proportional to 256,156.25, 353,723.13 and 159,526.04 is: 220,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,156.25 : 353,723.13 = 159,526.04 : x
  2. Step 2: Convert to fraction form
    256,156.25/353,723.13 = 159,526.04/x
  3. Step 3: Cross multiply
    256,156.25x = 353,723.13 × 159,526.04
  4. Step 4: Simplify right side
    256,156.25x = 56,428,048,416.69
  5. Step 5: Solve for x
    x = 56,428,048,416.69/256,156.25
  6. Step 6: Final answer
    x = 220,287.62

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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.