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Finding the Fourth Proportional to 207,264.30, 310,378.04 and 165,792.30

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Solution

The fourth proportional to 207,264.30, 310,378.04 and 165,792.30 is: 248,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264.30 : 310,378.04 = 165,792.30 : x
  2. Step 2: Convert to fraction form
    207,264.30/310,378.04 = 165,792.30/x
  3. Step 3: Cross multiply
    207,264.30x = 310,378.04 × 165,792.30
  4. Step 4: Simplify right side
    207,264.30x = 51,458,289,121.09
  5. Step 5: Solve for x
    x = 51,458,289,121.09/207,264.30
  6. Step 6: Final answer
    x = 248,273.77

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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.