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Finding the Fourth Proportional to 201,223.80, 301,490.10 and 95,815.80

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Solution

The fourth proportional to 201,223.80, 301,490.10 and 95,815.80 is: 143,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,223.80 : 301,490.10 = 95,815.80 : x
  2. Step 2: Convert to fraction form
    201,223.80/301,490.10 = 95,815.80/x
  3. Step 3: Cross multiply
    201,223.80x = 301,490.10 × 95,815.80
  4. Step 4: Simplify right side
    201,223.80x = 28,887,515,123.58
  5. Step 5: Solve for x
    x = 28,887,515,123.58/201,223.80
  6. Step 6: Final answer
    x = 143,559.14

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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.