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Finding the Fourth Proportional to 150,120.96, 207,142.56 and 83,040

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Solution

The fourth proportional to 150,120.96, 207,142.56 and 83,040 is: 114,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120.96 : 207,142.56 = 83,040 : x
  2. Step 2: Convert to fraction form
    150,120.96/207,142.56 = 83,040/x
  3. Step 3: Cross multiply
    150,120.96x = 207,142.56 × 83,040
  4. Step 4: Simplify right side
    150,120.96x = 17,201,118,182.40
  5. Step 5: Solve for x
    x = 17,201,118,182.40/150,120.96
  6. Step 6: Final answer
    x = 114,581.72

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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.