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Finding the Fourth Proportional to 169,784.38, 234,141.71 and 111,538.24

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Solution

The fourth proportional to 169,784.38, 234,141.71 and 111,538.24 is: 153,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784.38 : 234,141.71 = 111,538.24 : x
  2. Step 2: Convert to fraction form
    169,784.38/234,141.71 = 111,538.24/x
  3. Step 3: Cross multiply
    169,784.38x = 234,141.71 × 111,538.24
  4. Step 4: Simplify right side
    169,784.38x = 26,115,753,100.94
  5. Step 5: Solve for x
    x = 26,115,753,100.94/169,784.38
  6. Step 6: Final answer
    x = 153,817.17

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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.