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Finding the Fourth Proportional to 232,110, 348,185.25 and 65,898

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Solution

The fourth proportional to 232,110, 348,185.25 and 65,898 is: 98,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,110 : 348,185.25 = 65,898 : x
  2. Step 2: Convert to fraction form
    232,110/348,185.25 = 65,898/x
  3. Step 3: Cross multiply
    232,110x = 348,185.25 × 65,898
  4. Step 4: Simplify right side
    232,110x = 22,944,711,604.50
  5. Step 5: Solve for x
    x = 22,944,711,604.50/232,110
  6. Step 6: Final answer
    x = 98,852.75

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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.