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Finding the Fourth Proportional to 222,822.50, 334,277.50 and 98,163.50

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Solution

The fourth proportional to 222,822.50, 334,277.50 and 98,163.50 is: 147,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,822.50 : 334,277.50 = 98,163.50 : x
  2. Step 2: Convert to fraction form
    222,822.50/334,277.50 = 98,163.50/x
  3. Step 3: Cross multiply
    222,822.50x = 334,277.50 × 98,163.50
  4. Step 4: Simplify right side
    222,822.50x = 32,813,849,371.25
  5. Step 5: Solve for x
    x = 32,813,849,371.25/222,822.50
  6. Step 6: Final answer
    x = 147,264.52

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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.