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Finding the Fourth Proportional to 160,162.38, 221,076.59 and 112,427.46

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Solution

The fourth proportional to 160,162.38, 221,076.59 and 112,427.46 is: 155,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,162.38 : 221,076.59 = 112,427.46 : x
  2. Step 2: Convert to fraction form
    160,162.38/221,076.59 = 112,427.46/x
  3. Step 3: Cross multiply
    160,162.38x = 221,076.59 × 112,427.46
  4. Step 4: Simplify right side
    160,162.38x = 24,855,078,917.02
  5. Step 5: Solve for x
    x = 24,855,078,917.02/160,162.38
  6. Step 6: Final answer
    x = 155,186.75

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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.