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Finding the Fourth Proportional to 164,806.20, 247,274.10 and 64,949.40

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Solution

The fourth proportional to 164,806.20, 247,274.10 and 64,949.40 is: 97,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,806.20 : 247,274.10 = 64,949.40 : x
  2. Step 2: Convert to fraction form
    164,806.20/247,274.10 = 64,949.40/x
  3. Step 3: Cross multiply
    164,806.20x = 247,274.10 × 64,949.40
  4. Step 4: Simplify right side
    164,806.20x = 16,060,304,430.54
  5. Step 5: Solve for x
    x = 16,060,304,430.54/164,806.20
  6. Step 6: Final answer
    x = 97,449.64

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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.