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Finding the Fourth Proportional to 232,911.82, 349,441.54 and 83,148.80

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Solution

The fourth proportional to 232,911.82, 349,441.54 and 83,148.80 is: 124,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,911.82 : 349,441.54 = 83,148.80 : x
  2. Step 2: Convert to fraction form
    232,911.82/349,441.54 = 83,148.80/x
  3. Step 3: Cross multiply
    232,911.82x = 349,441.54 × 83,148.80
  4. Step 4: Simplify right side
    232,911.82x = 29,055,645,386.88
  5. Step 5: Solve for x
    x = 29,055,645,386.88/232,911.82
  6. Step 6: Final answer
    x = 124,749.55

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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.