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Finding the Fourth Proportional to 242,924.81, 364,439.42 and 74,456.75

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Solution

The fourth proportional to 242,924.81, 364,439.42 and 74,456.75 is: 111,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,924.81 : 364,439.42 = 74,456.75 : x
  2. Step 2: Convert to fraction form
    242,924.81/364,439.42 = 74,456.75/x
  3. Step 3: Cross multiply
    242,924.81x = 364,439.42 × 74,456.75
  4. Step 4: Simplify right side
    242,924.81x = 27,134,975,603.11
  5. Step 5: Solve for x
    x = 27,134,975,603.11/242,924.81
  6. Step 6: Final answer
    x = 111,701.13

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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.