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Finding the Fourth Proportional to 365,654.12, 548,549.84 and 165,988.52

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Solution

The fourth proportional to 365,654.12, 548,549.84 and 165,988.52 is: 249,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,654.12 : 548,549.84 = 165,988.52 : x
  2. Step 2: Convert to fraction form
    365,654.12/548,549.84 = 165,988.52/x
  3. Step 3: Cross multiply
    365,654.12x = 548,549.84 × 165,988.52
  4. Step 4: Simplify right side
    365,654.12x = 91,052,976,087.84
  5. Step 5: Solve for x
    x = 91,052,976,087.84/365,654.12
  6. Step 6: Final answer
    x = 249,013.95

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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.