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Finding the Fourth Proportional to 233,548.68, 322,320.96 and 142,964.49

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Solution

The fourth proportional to 233,548.68, 322,320.96 and 142,964.49 is: 197,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,548.68 : 322,320.96 = 142,964.49 : x
  2. Step 2: Convert to fraction form
    233,548.68/322,320.96 = 142,964.49/x
  3. Step 3: Cross multiply
    233,548.68x = 322,320.96 × 142,964.49
  4. Step 4: Simplify right side
    233,548.68x = 46,080,451,662.71
  5. Step 5: Solve for x
    x = 46,080,451,662.71/233,548.68
  6. Step 6: Final answer
    x = 197,305.55

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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.