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Finding the Fourth Proportional to 169,802.31, 234,093 and 135,463.56

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Solution

The fourth proportional to 169,802.31, 234,093 and 135,463.56 is: 186,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,802.31 : 234,093 = 135,463.56 : x
  2. Step 2: Convert to fraction form
    169,802.31/234,093 = 135,463.56/x
  3. Step 3: Cross multiply
    169,802.31x = 234,093 × 135,463.56
  4. Step 4: Simplify right side
    169,802.31x = 31,711,071,151.08
  5. Step 5: Solve for x
    x = 31,711,071,151.08/169,802.31
  6. Step 6: Final answer
    x = 186,752.88

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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.