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Finding the Fourth Proportional to 242,296.88, 363,497.10 and 73,830.66

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Solution

The fourth proportional to 242,296.88, 363,497.10 and 73,830.66 is: 110,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,296.88 : 363,497.10 = 73,830.66 : x
  2. Step 2: Convert to fraction form
    242,296.88/363,497.10 = 73,830.66/x
  3. Step 3: Cross multiply
    242,296.88x = 363,497.10 × 73,830.66
  4. Step 4: Simplify right side
    242,296.88x = 26,837,230,801.09
  5. Step 5: Solve for x
    x = 26,837,230,801.09/242,296.88
  6. Step 6: Final answer
    x = 110,761.77

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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.