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Finding the Fourth Proportional to 242,359.83, 363,218.99 and 185,984.51

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Solution

The fourth proportional to 242,359.83, 363,218.99 and 185,984.51 is: 278,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,359.83 : 363,218.99 = 185,984.51 : x
  2. Step 2: Convert to fraction form
    242,359.83/363,218.99 = 185,984.51/x
  3. Step 3: Cross multiply
    242,359.83x = 363,218.99 × 185,984.51
  4. Step 4: Simplify right side
    242,359.83x = 67,553,103,131.83
  5. Step 5: Solve for x
    x = 67,553,103,131.83/242,359.83
  6. Step 6: Final answer
    x = 278,730.61

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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.