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Finding the Fourth Proportional to 150,288, 207,397.44 and 83,220

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Solution

The fourth proportional to 150,288, 207,397.44 and 83,220 is: 114,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,288 : 207,397.44 = 83,220 : x
  2. Step 2: Convert to fraction form
    150,288/207,397.44 = 83,220/x
  3. Step 3: Cross multiply
    150,288x = 207,397.44 × 83,220
  4. Step 4: Simplify right side
    150,288x = 17,259,614,956.80
  5. Step 5: Solve for x
    x = 17,259,614,956.80/150,288
  6. Step 6: Final answer
    x = 114,843.60

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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.