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Finding the Fourth Proportional to 268,111.80, 402,221.70 and 78,571.80

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Solution

The fourth proportional to 268,111.80, 402,221.70 and 78,571.80 is: 117,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,111.80 : 402,221.70 = 78,571.80 : x
  2. Step 2: Convert to fraction form
    268,111.80/402,221.70 = 78,571.80/x
  3. Step 3: Cross multiply
    268,111.80x = 402,221.70 × 78,571.80
  4. Step 4: Simplify right side
    268,111.80x = 31,603,282,968.06
  5. Step 5: Solve for x
    x = 31,603,282,968.06/268,111.80
  6. Step 6: Final answer
    x = 117,873.53

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Why These Related Problems?

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