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Finding the Fourth Proportional to 242,797.72, 364,239.65 and 74,314.32

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Solution

The fourth proportional to 242,797.72, 364,239.65 and 74,314.32 is: 111,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,797.72 : 364,239.65 = 74,314.32 : x
  2. Step 2: Convert to fraction form
    242,797.72/364,239.65 = 74,314.32/x
  3. Step 3: Cross multiply
    242,797.72x = 364,239.65 × 74,314.32
  4. Step 4: Simplify right side
    242,797.72x = 27,068,221,906.79
  5. Step 5: Solve for x
    x = 27,068,221,906.79/242,797.72
  6. Step 6: Final answer
    x = 111,484.66

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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.