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Finding the Fourth Proportional to 236,020.42, 353,954.07 and 78,206.50

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Solution

The fourth proportional to 236,020.42, 353,954.07 and 78,206.50 is: 117,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,020.42 : 353,954.07 = 78,206.50 : x
  2. Step 2: Convert to fraction form
    236,020.42/353,954.07 = 78,206.50/x
  3. Step 3: Cross multiply
    236,020.42x = 353,954.07 × 78,206.50
  4. Step 4: Simplify right side
    236,020.42x = 27,681,508,975.46
  5. Step 5: Solve for x
    x = 27,681,508,975.46/236,020.42
  6. Step 6: Final answer
    x = 117,284.38

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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.