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Finding the Fourth Proportional to 206,718.06, 310,078.30 and 73,603.46

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Solution

The fourth proportional to 206,718.06, 310,078.30 and 73,603.46 is: 110,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,718.06 : 310,078.30 = 73,603.46 : x
  2. Step 2: Convert to fraction form
    206,718.06/310,078.30 = 73,603.46/x
  3. Step 3: Cross multiply
    206,718.06x = 310,078.30 × 73,603.46
  4. Step 4: Simplify right side
    206,718.06x = 22,822,835,750.92
  5. Step 5: Solve for x
    x = 22,822,835,750.92/206,718.06
  6. Step 6: Final answer
    x = 110,405.62

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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.