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Finding the Fourth Proportional to 150,191.25, 207,264.54 and 83,123.25

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Solution

The fourth proportional to 150,191.25, 207,264.54 and 83,123.25 is: 114,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,191.25 : 207,264.54 = 83,123.25 : x
  2. Step 2: Convert to fraction form
    150,191.25/207,264.54 = 83,123.25/x
  3. Step 3: Cross multiply
    150,191.25x = 207,264.54 × 83,123.25
  4. Step 4: Simplify right side
    150,191.25x = 17,228,502,174.56
  5. Step 5: Solve for x
    x = 17,228,502,174.56/150,191.25
  6. Step 6: Final answer
    x = 114,710.43

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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.