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Finding the Fourth Proportional to 202,190.04, 303,394.32 and 83,943

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Solution

The fourth proportional to 202,190.04, 303,394.32 and 83,943 is: 125,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.04 : 303,394.32 = 83,943 : x
  2. Step 2: Convert to fraction form
    202,190.04/303,394.32 = 83,943/x
  3. Step 3: Cross multiply
    202,190.04x = 303,394.32 × 83,943
  4. Step 4: Simplify right side
    202,190.04x = 25,467,829,403.76
  5. Step 5: Solve for x
    x = 25,467,829,403.76/202,190.04
  6. Step 6: Final answer
    x = 125,959.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.