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Finding the Fourth Proportional to 236,016.42, 353,948.07 and 78,202.50

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Solution

The fourth proportional to 236,016.42, 353,948.07 and 78,202.50 is: 117,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,016.42 : 353,948.07 = 78,202.50 : x
  2. Step 2: Convert to fraction form
    236,016.42/353,948.07 = 78,202.50/x
  3. Step 3: Cross multiply
    236,016.42x = 353,948.07 × 78,202.50
  4. Step 4: Simplify right side
    236,016.42x = 27,679,623,944.18
  5. Step 5: Solve for x
    x = 27,679,623,944.18/236,016.42
  6. Step 6: Final answer
    x = 117,278.38

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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.