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Finding the Fourth Proportional to 242,849.19, 364,274.66 and 74,368.78

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Solution

The fourth proportional to 242,849.19, 364,274.66 and 74,368.78 is: 111,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,849.19 : 364,274.66 = 74,368.78 : x
  2. Step 2: Convert to fraction form
    242,849.19/364,274.66 = 74,368.78/x
  3. Step 3: Cross multiply
    242,849.19x = 364,274.66 × 74,368.78
  4. Step 4: Simplify right side
    242,849.19x = 27,090,662,850.49
  5. Step 5: Solve for x
    x = 27,090,662,850.49/242,849.19
  6. Step 6: Final answer
    x = 111,553.44

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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.