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Finding the Fourth Proportional to 242,050.80, 363,124.80 and 202,879.20

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Solution

The fourth proportional to 242,050.80, 363,124.80 and 202,879.20 is: 304,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,050.80 : 363,124.80 = 202,879.20 : x
  2. Step 2: Convert to fraction form
    242,050.80/363,124.80 = 202,879.20/x
  3. Step 3: Cross multiply
    242,050.80x = 363,124.80 × 202,879.20
  4. Step 4: Simplify right side
    242,050.80x = 73,670,468,924.16
  5. Step 5: Solve for x
    x = 73,670,468,924.16/242,050.80
  6. Step 6: Final answer
    x = 304,359.53

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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.