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Finding the Fourth Proportional to 296,199.36, 408,753.26 and 160,232.76

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Solution

The fourth proportional to 296,199.36, 408,753.26 and 160,232.76 is: 221,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,199.36 : 408,753.26 = 160,232.76 : x
  2. Step 2: Convert to fraction form
    296,199.36/408,753.26 = 160,232.76/x
  3. Step 3: Cross multiply
    296,199.36x = 408,753.26 × 160,232.76
  4. Step 4: Simplify right side
    296,199.36x = 65,495,663,008.80
  5. Step 5: Solve for x
    x = 65,495,663,008.80/296,199.36
  6. Step 6: Final answer
    x = 221,120.20

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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.