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Finding the Fourth Proportional to 201,440.46, 301,701.15 and 96,333.78

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Solution

The fourth proportional to 201,440.46, 301,701.15 and 96,333.78 is: 144,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,440.46 : 301,701.15 = 96,333.78 : x
  2. Step 2: Convert to fraction form
    201,440.46/301,701.15 = 96,333.78/x
  3. Step 3: Cross multiply
    201,440.46x = 301,701.15 × 96,333.78
  4. Step 4: Simplify right side
    201,440.46x = 29,064,012,209.85
  5. Step 5: Solve for x
    x = 29,064,012,209.85/201,440.46
  6. Step 6: Final answer
    x = 144,280.91

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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.