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Finding the Fourth Proportional to 242,270.96, 363,447.95 and 82,329.98

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Solution

The fourth proportional to 242,270.96, 363,447.95 and 82,329.98 is: 123,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,270.96 : 363,447.95 = 82,329.98 : x
  2. Step 2: Convert to fraction form
    242,270.96/363,447.95 = 82,329.98/x
  3. Step 3: Cross multiply
    242,270.96x = 363,447.95 × 82,329.98
  4. Step 4: Simplify right side
    242,270.96x = 29,922,660,225.65
  5. Step 5: Solve for x
    x = 29,922,660,225.65/242,270.96
  6. Step 6: Final answer
    x = 123,509.07

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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.