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Finding the Fourth Proportional to 201,225.14, 301,783.71 and 95,834.42

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Solution

The fourth proportional to 201,225.14, 301,783.71 and 95,834.42 is: 143,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.14 : 301,783.71 = 95,834.42 : x
  2. Step 2: Convert to fraction form
    201,225.14/301,783.71 = 95,834.42/x
  3. Step 3: Cross multiply
    201,225.14x = 301,783.71 × 95,834.42
  4. Step 4: Simplify right side
    201,225.14x = 28,921,266,813.30
  5. Step 5: Solve for x
    x = 28,921,266,813.30/201,225.14
  6. Step 6: Final answer
    x = 143,725.91

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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.