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Finding the Fourth Proportional to 242,808.30, 364,254.10 and 74,324.45

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Solution

The fourth proportional to 242,808.30, 364,254.10 and 74,324.45 is: 111,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,808.30 : 364,254.10 = 74,324.45 : x
  2. Step 2: Convert to fraction form
    242,808.30/364,254.10 = 74,324.45/x
  3. Step 3: Cross multiply
    242,808.30x = 364,254.10 × 74,324.45
  4. Step 4: Simplify right side
    242,808.30x = 27,072,986,367.57
  5. Step 5: Solve for x
    x = 27,072,986,367.57/242,808.30
  6. Step 6: Final answer
    x = 111,499.43

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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.