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Finding the Fourth Proportional to 201,446.30, 301,823.85 and 96,038.30

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Solution

The fourth proportional to 201,446.30, 301,823.85 and 96,038.30 is: 143,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.30 : 301,823.85 = 96,038.30 : x
  2. Step 2: Convert to fraction form
    201,446.30/301,823.85 = 96,038.30/x
  3. Step 3: Cross multiply
    201,446.30x = 301,823.85 × 96,038.30
  4. Step 4: Simplify right side
    201,446.30x = 28,986,649,453.46
  5. Step 5: Solve for x
    x = 28,986,649,453.46/201,446.30
  6. Step 6: Final answer
    x = 143,892.69

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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.