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Finding the Fourth Proportional to 232,053.78, 348,076.83 and 98,863.38

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Solution

The fourth proportional to 232,053.78, 348,076.83 and 98,863.38 is: 148,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,053.78 : 348,076.83 = 98,863.38 : x
  2. Step 2: Convert to fraction form
    232,053.78/348,076.83 = 98,863.38/x
  3. Step 3: Cross multiply
    232,053.78x = 348,076.83 × 98,863.38
  4. Step 4: Simplify right side
    232,053.78x = 34,412,051,913.49
  5. Step 5: Solve for x
    x = 34,412,051,913.49/232,053.78
  6. Step 6: Final answer
    x = 148,293.43

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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.