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Finding the Fourth Proportional to 109,394.16, 150,964.64 and 64,098.96

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Solution

The fourth proportional to 109,394.16, 150,964.64 and 64,098.96 is: 88,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,394.16 : 150,964.64 = 64,098.96 : x
  2. Step 2: Convert to fraction form
    109,394.16/150,964.64 = 64,098.96/x
  3. Step 3: Cross multiply
    109,394.16x = 150,964.64 × 64,098.96
  4. Step 4: Simplify right side
    109,394.16x = 9,676,676,420.77
  5. Step 5: Solve for x
    x = 9,676,676,420.77/109,394.16
  6. Step 6: Final answer
    x = 88,456.97

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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.