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Finding the Fourth Proportional to 233,574.42, 322,332.68 and 126,144.46

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Solution

The fourth proportional to 233,574.42, 322,332.68 and 126,144.46 is: 174,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,574.42 : 322,332.68 = 126,144.46 : x
  2. Step 2: Convert to fraction form
    233,574.42/322,332.68 = 126,144.46/x
  3. Step 3: Cross multiply
    233,574.42x = 322,332.68 × 126,144.46
  4. Step 4: Simplify right side
    233,574.42x = 40,660,481,858.95
  5. Step 5: Solve for x
    x = 40,660,481,858.95/233,574.42
  6. Step 6: Final answer
    x = 174,079.34

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