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Finding the Fourth Proportional to 150,270.24, 207,387.36 and 83,202.24

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Solution

The fourth proportional to 150,270.24, 207,387.36 and 83,202.24 is: 114,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270.24 : 207,387.36 = 83,202.24 : x
  2. Step 2: Convert to fraction form
    150,270.24/207,387.36 = 83,202.24/x
  3. Step 3: Cross multiply
    150,270.24x = 207,387.36 × 83,202.24
  4. Step 4: Simplify right side
    150,270.24x = 17,255,092,899.69
  5. Step 5: Solve for x
    x = 17,255,092,899.69/150,270.24
  6. Step 6: Final answer
    x = 114,827.08

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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.