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Finding the Fourth Proportional to 155,964.56, 233,978.40 and 50,755.28

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Solution

The fourth proportional to 155,964.56, 233,978.40 and 50,755.28 is: 76,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,964.56 : 233,978.40 = 50,755.28 : x
  2. Step 2: Convert to fraction form
    155,964.56/233,978.40 = 50,755.28/x
  3. Step 3: Cross multiply
    155,964.56x = 233,978.40 × 50,755.28
  4. Step 4: Simplify right side
    155,964.56x = 11,875,639,205.95
  5. Step 5: Solve for x
    x = 11,875,639,205.95/155,964.56
  6. Step 6: Final answer
    x = 76,143.19

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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.