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Finding the Fourth Proportional to 222,342.50, 333,514.46 and 53,862.50

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Solution

The fourth proportional to 222,342.50, 333,514.46 and 53,862.50 is: 80,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,342.50 : 333,514.46 = 53,862.50 : x
  2. Step 2: Convert to fraction form
    222,342.50/333,514.46 = 53,862.50/x
  3. Step 3: Cross multiply
    222,342.50x = 333,514.46 × 53,862.50
  4. Step 4: Simplify right side
    222,342.50x = 17,963,923,570.19
  5. Step 5: Solve for x
    x = 17,963,923,570.19/222,342.50
  6. Step 6: Final answer
    x = 80,793.93

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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.