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Finding the Fourth Proportional to 153,842, 230,763 and 43,034

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Solution

The fourth proportional to 153,842, 230,763 and 43,034 is: 64,551

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842 : 230,763 = 43,034 : x
  2. Step 2: Convert to fraction form
    153,842/230,763 = 43,034/x
  3. Step 3: Cross multiply
    153,842x = 230,763 × 43,034
  4. Step 4: Simplify right side
    153,842x = 9,930,654,942
  5. Step 5: Solve for x
    x = 9,930,654,942/153,842
  6. Step 6: Final answer
    x = 64,551

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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.