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Finding the Fourth Proportional to 232,076.44, 348,117.90 and 65,864.44

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Solution

The fourth proportional to 232,076.44, 348,117.90 and 65,864.44 is: 98,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,076.44 : 348,117.90 = 65,864.44 : x
  2. Step 2: Convert to fraction form
    232,076.44/348,117.90 = 65,864.44/x
  3. Step 3: Cross multiply
    232,076.44x = 348,117.90 × 65,864.44
  4. Step 4: Simplify right side
    232,076.44x = 22,928,590,537.48
  5. Step 5: Solve for x
    x = 22,928,590,537.48/232,076.44
  6. Step 6: Final answer
    x = 98,797.58

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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.