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Finding the Fourth Proportional to 133,069.30, 199,603.95 and 119,947.30

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Solution

The fourth proportional to 133,069.30, 199,603.95 and 119,947.30 is: 179,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069.30 : 199,603.95 = 119,947.30 : x
  2. Step 2: Convert to fraction form
    133,069.30/199,603.95 = 119,947.30/x
  3. Step 3: Cross multiply
    133,069.30x = 199,603.95 × 119,947.30
  4. Step 4: Simplify right side
    133,069.30x = 23,941,954,871.84
  5. Step 5: Solve for x
    x = 23,941,954,871.84/133,069.30
  6. Step 6: Final answer
    x = 179,920.95

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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.