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Finding the Fourth Proportional to 202,960.87, 304,435 and 96,421.50

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Solution

The fourth proportional to 202,960.87, 304,435 and 96,421.50 is: 144,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.87 : 304,435 = 96,421.50 : x
  2. Step 2: Convert to fraction form
    202,960.87/304,435 = 96,421.50/x
  3. Step 3: Cross multiply
    202,960.87x = 304,435 × 96,421.50
  4. Step 4: Simplify right side
    202,960.87x = 29,354,079,352.50
  5. Step 5: Solve for x
    x = 29,354,079,352.50/202,960.87
  6. Step 6: Final answer
    x = 144,629.25

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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.