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Finding the Fourth Proportional to 207,943.90, 311,332.65 and 202,111.90

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Solution

The fourth proportional to 207,943.90, 311,332.65 and 202,111.90 is: 302,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943.90 : 311,332.65 = 202,111.90 : x
  2. Step 2: Convert to fraction form
    207,943.90/311,332.65 = 202,111.90/x
  3. Step 3: Cross multiply
    207,943.90x = 311,332.65 × 202,111.90
  4. Step 4: Simplify right side
    207,943.90x = 62,924,033,423.54
  5. Step 5: Solve for x
    x = 62,924,033,423.54/207,943.90
  6. Step 6: Final answer
    x = 302,601.01

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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.