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Finding the Fourth Proportional to 202,961.87, 304,436.50 and 96,422.50

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Solution

The fourth proportional to 202,961.87, 304,436.50 and 96,422.50 is: 144,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.87 : 304,436.50 = 96,422.50 : x
  2. Step 2: Convert to fraction form
    202,961.87/304,436.50 = 96,422.50/x
  3. Step 3: Cross multiply
    202,961.87x = 304,436.50 × 96,422.50
  4. Step 4: Simplify right side
    202,961.87x = 29,354,528,421.25
  5. Step 5: Solve for x
    x = 29,354,528,421.25/202,961.87
  6. Step 6: Final answer
    x = 144,630.75

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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.