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Finding the Fourth Proportional to 202,417.60, 303,820.80 and 172,868.80

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Solution

The fourth proportional to 202,417.60, 303,820.80 and 172,868.80 is: 259,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,417.60 : 303,820.80 = 172,868.80 : x
  2. Step 2: Convert to fraction form
    202,417.60/303,820.80 = 172,868.80/x
  3. Step 3: Cross multiply
    202,417.60x = 303,820.80 × 172,868.80
  4. Step 4: Simplify right side
    202,417.60x = 52,521,137,111.04
  5. Step 5: Solve for x
    x = 52,521,137,111.04/202,417.60
  6. Step 6: Final answer
    x = 259,469.22

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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.