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Finding the Fourth Proportional to 296,199.00, 408,753.38 and 160,232.60

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Solution

The fourth proportional to 296,199.00, 408,753.38 and 160,232.60 is: 221,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,199.00 : 408,753.38 = 160,232.60 : x
  2. Step 2: Convert to fraction form
    296,199.00/408,753.38 = 160,232.60/x
  3. Step 3: Cross multiply
    296,199.00x = 408,753.38 × 160,232.60
  4. Step 4: Simplify right side
    296,199.00x = 65,495,616,035.03
  5. Step 5: Solve for x
    x = 65,495,616,035.03/296,199.00
  6. Step 6: Final answer
    x = 221,120.32

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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.