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Finding the Fourth Proportional to 242,814.36, 364,275.66 and 74,358.36

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Solution

The fourth proportional to 242,814.36, 364,275.66 and 74,358.36 is: 111,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,814.36 : 364,275.66 = 74,358.36 : x
  2. Step 2: Convert to fraction form
    242,814.36/364,275.66 = 74,358.36/x
  3. Step 3: Cross multiply
    242,814.36x = 364,275.66 × 74,358.36
  4. Step 4: Simplify right side
    242,814.36x = 27,086,940,665.52
  5. Step 5: Solve for x
    x = 27,086,940,665.52/242,814.36
  6. Step 6: Final answer
    x = 111,554.11

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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.