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Finding the Fourth Proportional to 169,813.14, 234,343.20 and 106,188.18

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Solution

The fourth proportional to 169,813.14, 234,343.20 and 106,188.18 is: 146,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,813.14 : 234,343.20 = 106,188.18 : x
  2. Step 2: Convert to fraction form
    169,813.14/234,343.20 = 106,188.18/x
  3. Step 3: Cross multiply
    169,813.14x = 234,343.20 × 106,188.18
  4. Step 4: Simplify right side
    169,813.14x = 24,884,477,903.38
  5. Step 5: Solve for x
    x = 24,884,477,903.38/169,813.14
  6. Step 6: Final answer
    x = 146,540.36

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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.