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Finding the Fourth Proportional to 242,644.41, 363,966.65 and 74,165.22

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Solution

The fourth proportional to 242,644.41, 363,966.65 and 74,165.22 is: 111,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,644.41 : 363,966.65 = 74,165.22 : x
  2. Step 2: Convert to fraction form
    242,644.41/363,966.65 = 74,165.22/x
  3. Step 3: Cross multiply
    242,644.41x = 363,966.65 × 74,165.22
  4. Step 4: Simplify right side
    242,644.41x = 26,993,666,299.09
  5. Step 5: Solve for x
    x = 26,993,666,299.09/242,644.41
  6. Step 6: Final answer
    x = 111,247.84

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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.