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Finding the Fourth Proportional to 202,801.16, 303,987.22 and 76,386.71

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Solution

The fourth proportional to 202,801.16, 303,987.22 and 76,386.71 is: 114,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.16 : 303,987.22 = 76,386.71 : x
  2. Step 2: Convert to fraction form
    202,801.16/303,987.22 = 76,386.71/x
  3. Step 3: Cross multiply
    202,801.16x = 303,987.22 × 76,386.71
  4. Step 4: Simplify right side
    202,801.16x = 23,220,581,906.94
  5. Step 5: Solve for x
    x = 23,220,581,906.94/202,801.16
  6. Step 6: Final answer
    x = 114,499.26

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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.