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Finding the Fourth Proportional to 117,905.38, 162,712.82 and 64,191.31

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Solution

The fourth proportional to 117,905.38, 162,712.82 and 64,191.31 is: 88,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,905.38 : 162,712.82 = 64,191.31 : x
  2. Step 2: Convert to fraction form
    117,905.38/162,712.82 = 64,191.31/x
  3. Step 3: Cross multiply
    117,905.38x = 162,712.82 × 64,191.31
  4. Step 4: Simplify right side
    117,905.38x = 10,444,748,823.29
  5. Step 5: Solve for x
    x = 10,444,748,823.29/117,905.38
  6. Step 6: Final answer
    x = 88,585.86

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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.