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Finding the Fourth Proportional to 202,284.90, 303,755.40 and 136,018.80

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Solution

The fourth proportional to 202,284.90, 303,755.40 and 136,018.80 is: 204,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284.90 : 303,755.40 = 136,018.80 : x
  2. Step 2: Convert to fraction form
    202,284.90/303,755.40 = 136,018.80/x
  3. Step 3: Cross multiply
    202,284.90x = 303,755.40 × 136,018.80
  4. Step 4: Simplify right side
    202,284.90x = 41,316,445,001.52
  5. Step 5: Solve for x
    x = 41,316,445,001.52/202,284.90
  6. Step 6: Final answer
    x = 204,248.78

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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.