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Finding the Fourth Proportional to 160,839.38, 221,813.02 and 100,415.54

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Solution

The fourth proportional to 160,839.38, 221,813.02 and 100,415.54 is: 138,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,839.38 : 221,813.02 = 100,415.54 : x
  2. Step 2: Convert to fraction form
    160,839.38/221,813.02 = 100,415.54/x
  3. Step 3: Cross multiply
    160,839.38x = 221,813.02 × 100,415.54
  4. Step 4: Simplify right side
    160,839.38x = 22,273,474,182.33
  5. Step 5: Solve for x
    x = 22,273,474,182.33/160,839.38
  6. Step 6: Final answer
    x = 138,482.72

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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.