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Finding the Fourth Proportional to 296,164.61, 408,707.18 and 160,198.47

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Solution

The fourth proportional to 296,164.61, 408,707.18 and 160,198.47 is: 221,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,164.61 : 408,707.18 = 160,198.47 : x
  2. Step 2: Convert to fraction form
    296,164.61/408,707.18 = 160,198.47/x
  3. Step 3: Cross multiply
    296,164.61x = 408,707.18 × 160,198.47
  4. Step 4: Simplify right side
    296,164.61x = 65,474,264,113.02
  5. Step 5: Solve for x
    x = 65,474,264,113.02/296,164.61
  6. Step 6: Final answer
    x = 221,073.90

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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.