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Finding the Fourth Proportional to 296,151, 408,691.56 and 160,187.64

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Solution

The fourth proportional to 296,151, 408,691.56 and 160,187.64 is: 221,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,151 : 408,691.56 = 160,187.64 : x
  2. Step 2: Convert to fraction form
    296,151/408,691.56 = 160,187.64/x
  3. Step 3: Cross multiply
    296,151x = 408,691.56 × 160,187.64
  4. Step 4: Simplify right side
    296,151x = 65,467,336,484.32
  5. Step 5: Solve for x
    x = 65,467,336,484.32/296,151
  6. Step 6: Final answer
    x = 221,060.66

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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.