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Finding the Fourth Proportional to 169,204.25, 233,501.92 and 101,224.06

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Solution

The fourth proportional to 169,204.25, 233,501.92 and 101,224.06 is: 139,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,204.25 : 233,501.92 = 101,224.06 : x
  2. Step 2: Convert to fraction form
    169,204.25/233,501.92 = 101,224.06/x
  3. Step 3: Cross multiply
    169,204.25x = 233,501.92 × 101,224.06
  4. Step 4: Simplify right side
    169,204.25x = 23,636,011,523.38
  5. Step 5: Solve for x
    x = 23,636,011,523.38/169,204.25
  6. Step 6: Final answer
    x = 139,689.23

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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.