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Finding the Fourth Proportional to 151,278.89, 208,763.10 and 83,294.42

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Solution

The fourth proportional to 151,278.89, 208,763.10 and 83,294.42 is: 114,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,278.89 : 208,763.10 = 83,294.42 : x
  2. Step 2: Convert to fraction form
    151,278.89/208,763.10 = 83,294.42/x
  3. Step 3: Cross multiply
    151,278.89x = 208,763.10 × 83,294.42
  4. Step 4: Simplify right side
    151,278.89x = 17,388,800,288.09
  5. Step 5: Solve for x
    x = 17,388,800,288.09/151,278.89
  6. Step 6: Final answer
    x = 114,945.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.