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Finding the Fourth Proportional to 232,047.75, 348,129.96 and 65,835.75

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Solution

The fourth proportional to 232,047.75, 348,129.96 and 65,835.75 is: 98,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,047.75 : 348,129.96 = 65,835.75 : x
  2. Step 2: Convert to fraction form
    232,047.75/348,129.96 = 65,835.75/x
  3. Step 3: Cross multiply
    232,047.75x = 348,129.96 × 65,835.75
  4. Step 4: Simplify right side
    232,047.75x = 22,919,397,014.07
  5. Step 5: Solve for x
    x = 22,919,397,014.07/232,047.75
  6. Step 6: Final answer
    x = 98,770.18

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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.