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Finding the Fourth Proportional to 233,642.46, 350,458.66 and 65,158.30

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Solution

The fourth proportional to 233,642.46, 350,458.66 and 65,158.30 is: 97,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,642.46 : 350,458.66 = 65,158.30 : x
  2. Step 2: Convert to fraction form
    233,642.46/350,458.66 = 65,158.30/x
  3. Step 3: Cross multiply
    233,642.46x = 350,458.66 × 65,158.30
  4. Step 4: Simplify right side
    233,642.46x = 22,835,290,505.88
  5. Step 5: Solve for x
    x = 22,835,290,505.88/233,642.46
  6. Step 6: Final answer
    x = 97,736.05

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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.