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Finding the Fourth Proportional to 202,883.47, 304,431.29 and 83,029.39

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Solution

The fourth proportional to 202,883.47, 304,431.29 and 83,029.39 is: 124,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.47 : 304,431.29 = 83,029.39 : x
  2. Step 2: Convert to fraction form
    202,883.47/304,431.29 = 83,029.39/x
  3. Step 3: Cross multiply
    202,883.47x = 304,431.29 × 83,029.39
  4. Step 4: Simplify right side
    202,883.47x = 25,276,744,305.61
  5. Step 5: Solve for x
    x = 25,276,744,305.61/202,883.47
  6. Step 6: Final answer
    x = 124,587.50

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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.