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Finding the Fourth Proportional to 125,838.01, 188,822.64 and 51,013.45

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Solution

The fourth proportional to 125,838.01, 188,822.64 and 51,013.45 is: 76,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,838.01 : 188,822.64 = 51,013.45 : x
  2. Step 2: Convert to fraction form
    125,838.01/188,822.64 = 51,013.45/x
  3. Step 3: Cross multiply
    125,838.01x = 188,822.64 × 51,013.45
  4. Step 4: Simplify right side
    125,838.01x = 9,632,494,304.51
  5. Step 5: Solve for x
    x = 9,632,494,304.51/125,838.01
  6. Step 6: Final answer
    x = 76,546.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.