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Finding the Fourth Proportional to 133,025.30, 199,537.95 and 77,729.30

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Solution

The fourth proportional to 133,025.30, 199,537.95 and 77,729.30 is: 116,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025.30 : 199,537.95 = 77,729.30 : x
  2. Step 2: Convert to fraction form
    133,025.30/199,537.95 = 77,729.30/x
  3. Step 3: Cross multiply
    133,025.30x = 199,537.95 × 77,729.30
  4. Step 4: Simplify right side
    133,025.30x = 15,509,945,176.94
  5. Step 5: Solve for x
    x = 15,509,945,176.94/133,025.30
  6. Step 6: Final answer
    x = 116,593.95

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1.5x scale

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.