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Finding the Fourth Proportional to 202,873.36, 304,309.80 and 78,126.88

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Solution

The fourth proportional to 202,873.36, 304,309.80 and 78,126.88 is: 117,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873.36 : 304,309.80 = 78,126.88 : x
  2. Step 2: Convert to fraction form
    202,873.36/304,309.80 = 78,126.88/x
  3. Step 3: Cross multiply
    202,873.36x = 304,309.80 × 78,126.88
  4. Step 4: Simplify right side
    202,873.36x = 23,774,775,227.42
  5. Step 5: Solve for x
    x = 23,774,775,227.42/202,873.36
  6. Step 6: Final answer
    x = 117,190.23

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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.