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Finding the Fourth Proportional to 296,104.16, 408,622.54 and 160,138.27

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Solution

The fourth proportional to 296,104.16, 408,622.54 and 160,138.27 is: 220,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,104.16 : 408,622.54 = 160,138.27 : x
  2. Step 2: Convert to fraction form
    296,104.16/408,622.54 = 160,138.27/x
  3. Step 3: Cross multiply
    296,104.16x = 408,622.54 × 160,138.27
  4. Step 4: Simplify right side
    296,104.16x = 65,436,106,638.61
  5. Step 5: Solve for x
    x = 65,436,106,638.61/296,104.16
  6. Step 6: Final answer
    x = 220,990.16

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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.