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Finding the Fourth Proportional to 242,781.76, 364,226.10 and 74,303.38

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Solution

The fourth proportional to 242,781.76, 364,226.10 and 74,303.38 is: 111,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,781.76 : 364,226.10 = 74,303.38 : x
  2. Step 2: Convert to fraction form
    242,781.76/364,226.10 = 74,303.38/x
  3. Step 3: Cross multiply
    242,781.76x = 364,226.10 × 74,303.38
  4. Step 4: Simplify right side
    242,781.76x = 27,063,230,314.22
  5. Step 5: Solve for x
    x = 27,063,230,314.22/242,781.76
  6. Step 6: Final answer
    x = 111,471.43

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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.