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Finding the Fourth Proportional to 206,494.80, 310,030.20 and 132,075.60

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Solution

The fourth proportional to 206,494.80, 310,030.20 and 132,075.60 is: 198,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.80 : 310,030.20 = 132,075.60 : x
  2. Step 2: Convert to fraction form
    206,494.80/310,030.20 = 132,075.60/x
  3. Step 3: Cross multiply
    206,494.80x = 310,030.20 × 132,075.60
  4. Step 4: Simplify right side
    206,494.80x = 40,947,424,683.12
  5. Step 5: Solve for x
    x = 40,947,424,683.12/206,494.80
  6. Step 6: Final answer
    x = 198,297.61

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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.