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Finding the Fourth Proportional to 242,678.40, 363,952.80 and 74,198.40

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Solution

The fourth proportional to 242,678.40, 363,952.80 and 74,198.40 is: 111,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,678.40 : 363,952.80 = 74,198.40 : x
  2. Step 2: Convert to fraction form
    242,678.40/363,952.80 = 74,198.40/x
  3. Step 3: Cross multiply
    242,678.40x = 363,952.80 × 74,198.40
  4. Step 4: Simplify right side
    242,678.40x = 27,004,715,435.52
  5. Step 5: Solve for x
    x = 27,004,715,435.52/242,678.40
  6. Step 6: Final answer
    x = 111,277.79

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1.5x scale

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.