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Finding the Fourth Proportional to 242,900.69, 363,863.08 and 120,953.84

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Solution

The fourth proportional to 242,900.69, 363,863.08 and 120,953.84 is: 181,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,900.69 : 363,863.08 = 120,953.84 : x
  2. Step 2: Convert to fraction form
    242,900.69/363,863.08 = 120,953.84/x
  3. Step 3: Cross multiply
    242,900.69x = 363,863.08 × 120,953.84
  4. Step 4: Simplify right side
    242,900.69x = 44,010,637,367.50
  5. Step 5: Solve for x
    x = 44,010,637,367.50/242,900.69
  6. Step 6: Final answer
    x = 181,187.78

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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.