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Finding the Fourth Proportional to 233,763.76, 322,754.07 and 148,995.64

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Solution

The fourth proportional to 233,763.76, 322,754.07 and 148,995.64 is: 205,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,763.76 : 322,754.07 = 148,995.64 : x
  2. Step 2: Convert to fraction form
    233,763.76/322,754.07 = 148,995.64/x
  3. Step 3: Cross multiply
    233,763.76x = 322,754.07 × 148,995.64
  4. Step 4: Simplify right side
    233,763.76x = 48,088,948,974.10
  5. Step 5: Solve for x
    x = 48,088,948,974.10/233,763.76
  6. Step 6: Final answer
    x = 205,716.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.