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Finding the Fourth Proportional to 202,959.55, 304,275.25 and 84,719.40

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Solution

The fourth proportional to 202,959.55, 304,275.25 and 84,719.40 is: 127,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.55 : 304,275.25 = 84,719.40 : x
  2. Step 2: Convert to fraction form
    202,959.55/304,275.25 = 84,719.40/x
  3. Step 3: Cross multiply
    202,959.55x = 304,275.25 × 84,719.40
  4. Step 4: Simplify right side
    202,959.55x = 25,778,016,614.85
  5. Step 5: Solve for x
    x = 25,778,016,614.85/202,959.55
  6. Step 6: Final answer
    x = 127,010.61

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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.