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Finding the Fourth Proportional to 233,570.20, 322,326.81 and 126,140.20

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Solution

The fourth proportional to 233,570.20, 322,326.81 and 126,140.20 is: 174,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,570.20 : 322,326.81 = 126,140.20 : x
  2. Step 2: Convert to fraction form
    233,570.20/322,326.81 = 126,140.20/x
  3. Step 3: Cross multiply
    233,570.20x = 322,326.81 × 126,140.20
  4. Step 4: Simplify right side
    233,570.20x = 40,658,368,278.76
  5. Step 5: Solve for x
    x = 40,658,368,278.76/233,570.20
  6. Step 6: Final answer
    x = 174,073.44

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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.