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Finding the Fourth Proportional to 202,865.89, 304,326.53 and 84,509.55

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Solution

The fourth proportional to 202,865.89, 304,326.53 and 84,509.55 is: 126,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.89 : 304,326.53 = 84,509.55 : x
  2. Step 2: Convert to fraction form
    202,865.89/304,326.53 = 84,509.55/x
  3. Step 3: Cross multiply
    202,865.89x = 304,326.53 × 84,509.55
  4. Step 4: Simplify right side
    202,865.89x = 25,718,496,159.18
  5. Step 5: Solve for x
    x = 25,718,496,159.18/202,865.89
  6. Step 6: Final answer
    x = 126,775.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.