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Finding the Fourth Proportional to 232,047, 348,128.82 and 65,835

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Solution

The fourth proportional to 232,047, 348,128.82 and 65,835 is: 98,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,047 : 348,128.82 = 65,835 : x
  2. Step 2: Convert to fraction form
    232,047/348,128.82 = 65,835/x
  3. Step 3: Cross multiply
    232,047x = 348,128.82 × 65,835
  4. Step 4: Simplify right side
    232,047x = 22,919,060,864.70
  5. Step 5: Solve for x
    x = 22,919,060,864.70/232,047
  6. Step 6: Final answer
    x = 98,769.05

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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.