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Finding the Fourth Proportional to 202,317.88, 303,515.88 and 77,649.16

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Solution

The fourth proportional to 202,317.88, 303,515.88 and 77,649.16 is: 116,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,317.88 : 303,515.88 = 77,649.16 : x
  2. Step 2: Convert to fraction form
    202,317.88/303,515.88 = 77,649.16/x
  3. Step 3: Cross multiply
    202,317.88x = 303,515.88 × 77,649.16
  4. Step 4: Simplify right side
    202,317.88x = 23,567,753,128.66
  5. Step 5: Solve for x
    x = 23,567,753,128.66/202,317.88
  6. Step 6: Final answer
    x = 116,488.73

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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.