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Finding the Fourth Proportional to 116,181.16, 160,330.86 and 75,871.10

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Solution

The fourth proportional to 116,181.16, 160,330.86 and 75,871.10 is: 104,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,181.16 : 160,330.86 = 75,871.10 : x
  2. Step 2: Convert to fraction form
    116,181.16/160,330.86 = 75,871.10/x
  3. Step 3: Cross multiply
    116,181.16x = 160,330.86 × 75,871.10
  4. Step 4: Simplify right side
    116,181.16x = 12,164,479,112.97
  5. Step 5: Solve for x
    x = 12,164,479,112.97/116,181.16
  6. Step 6: Final answer
    x = 104,702.68

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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.