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Finding the Fourth Proportional to 175,649, 242,395.62 and 96,161

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Solution

The fourth proportional to 175,649, 242,395.62 and 96,161 is: 132,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,649 : 242,395.62 = 96,161 : x
  2. Step 2: Convert to fraction form
    175,649/242,395.62 = 96,161/x
  3. Step 3: Cross multiply
    175,649x = 242,395.62 × 96,161
  4. Step 4: Simplify right side
    175,649x = 23,309,005,214.82
  5. Step 5: Solve for x
    x = 23,309,005,214.82/175,649
  6. Step 6: Final answer
    x = 132,702.18

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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.