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Finding the Fourth Proportional to 365,837.40, 548,496.90 and 166,253.40

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Solution

The fourth proportional to 365,837.40, 548,496.90 and 166,253.40 is: 249,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,837.40 : 548,496.90 = 166,253.40 : x
  2. Step 2: Convert to fraction form
    365,837.40/548,496.90 = 166,253.40/x
  3. Step 3: Cross multiply
    365,837.40x = 548,496.90 × 166,253.40
  4. Step 4: Simplify right side
    365,837.40x = 91,189,474,514.46
  5. Step 5: Solve for x
    x = 91,189,474,514.46/365,837.40
  6. Step 6: Final answer
    x = 249,262.31

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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.