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Finding the Fourth Proportional to 259,165.58, 388,482.03 and 99,204

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Solution

The fourth proportional to 259,165.58, 388,482.03 and 99,204 is: 148,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,165.58 : 388,482.03 = 99,204 : x
  2. Step 2: Convert to fraction form
    259,165.58/388,482.03 = 99,204/x
  3. Step 3: Cross multiply
    259,165.58x = 388,482.03 × 99,204
  4. Step 4: Simplify right side
    259,165.58x = 38,538,971,304.12
  5. Step 5: Solve for x
    x = 38,538,971,304.12/259,165.58
  6. Step 6: Final answer
    x = 148,704.05

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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.