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Finding the Fourth Proportional to 185,544, 277,947.36 and 91,763.52

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Solution

The fourth proportional to 185,544, 277,947.36 and 91,763.52 is: 137,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,544 : 277,947.36 = 91,763.52 : x
  2. Step 2: Convert to fraction form
    185,544/277,947.36 = 91,763.52/x
  3. Step 3: Cross multiply
    185,544x = 277,947.36 × 91,763.52
  4. Step 4: Simplify right side
    185,544x = 25,505,428,128.31
  5. Step 5: Solve for x
    x = 25,505,428,128.31/185,544
  6. Step 6: Final answer
    x = 137,462.96

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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.