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Finding the Fourth Proportional to 136,686.80, 205,030.20 and 38,190.80

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Solution

The fourth proportional to 136,686.80, 205,030.20 and 38,190.80 is: 57,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,686.80 : 205,030.20 = 38,190.80 : x
  2. Step 2: Convert to fraction form
    136,686.80/205,030.20 = 38,190.80/x
  3. Step 3: Cross multiply
    136,686.80x = 205,030.20 × 38,190.80
  4. Step 4: Simplify right side
    136,686.80x = 7,830,267,362.16
  5. Step 5: Solve for x
    x = 7,830,267,362.16/136,686.80
  6. Step 6: Final answer
    x = 57,286.20

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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.