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Finding the Fourth Proportional to 193,533.57, 290,318.99 and 75,214.17

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Solution

The fourth proportional to 193,533.57, 290,318.99 and 75,214.17 is: 112,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,533.57 : 290,318.99 = 75,214.17 : x
  2. Step 2: Convert to fraction form
    193,533.57/290,318.99 = 75,214.17/x
  3. Step 3: Cross multiply
    193,533.57x = 290,318.99 × 75,214.17
  4. Step 4: Simplify right side
    193,533.57x = 21,836,101,492.02
  5. Step 5: Solve for x
    x = 21,836,101,492.02/193,533.57
  6. Step 6: Final answer
    x = 112,828.50

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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.