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Finding the Fourth Proportional to 164,806.80, 247,210.20 and 135,282.30

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Solution

The fourth proportional to 164,806.80, 247,210.20 and 135,282.30 is: 202,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,806.80 : 247,210.20 = 135,282.30 : x
  2. Step 2: Convert to fraction form
    164,806.80/247,210.20 = 135,282.30/x
  3. Step 3: Cross multiply
    164,806.80x = 247,210.20 × 135,282.30
  4. Step 4: Simplify right side
    164,806.80x = 33,443,164,439.46
  5. Step 5: Solve for x
    x = 33,443,164,439.46/164,806.80
  6. Step 6: Final answer
    x = 202,923.45

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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.