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Finding the Fourth Proportional to 160,165.38, 221,050.17 and 92,180.96

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Solution

The fourth proportional to 160,165.38, 221,050.17 and 92,180.96 is: 127,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,165.38 : 221,050.17 = 92,180.96 : x
  2. Step 2: Convert to fraction form
    160,165.38/221,050.17 = 92,180.96/x
  3. Step 3: Cross multiply
    160,165.38x = 221,050.17 × 92,180.96
  4. Step 4: Simplify right side
    160,165.38x = 20,376,615,773.51
  5. Step 5: Solve for x
    x = 20,376,615,773.51/160,165.38
  6. Step 6: Final answer
    x = 127,222.35

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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.