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Finding the Fourth Proportional to 189,726.78, 261,812.66 and 104,838.38

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Solution

The fourth proportional to 189,726.78, 261,812.66 and 104,838.38 is: 144,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,726.78 : 261,812.66 = 104,838.38 : x
  2. Step 2: Convert to fraction form
    189,726.78/261,812.66 = 104,838.38/x
  3. Step 3: Cross multiply
    189,726.78x = 261,812.66 × 104,838.38
  4. Step 4: Simplify right side
    189,726.78x = 27,448,013,304.64
  5. Step 5: Solve for x
    x = 27,448,013,304.64/189,726.78
  6. Step 6: Final answer
    x = 144,671.27

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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.