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Finding the Fourth Proportional to 242,369.50, 363,385.62 and 107,360.27

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Solution

The fourth proportional to 242,369.50, 363,385.62 and 107,360.27 is: 160,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,369.50 : 363,385.62 = 107,360.27 : x
  2. Step 2: Convert to fraction form
    242,369.50/363,385.62 = 107,360.27/x
  3. Step 3: Cross multiply
    242,369.50x = 363,385.62 × 107,360.27
  4. Step 4: Simplify right side
    242,369.50x = 39,013,178,277.32
  5. Step 5: Solve for x
    x = 39,013,178,277.32/242,369.50
  6. Step 6: Final answer
    x = 160,965.71

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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.