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Finding the Fourth Proportional to 119,105.28, 164,365.57 and 65,393.76

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Solution

The fourth proportional to 119,105.28, 164,365.57 and 65,393.76 is: 90,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,105.28 : 164,365.57 = 65,393.76 : x
  2. Step 2: Convert to fraction form
    119,105.28/164,365.57 = 65,393.76/x
  3. Step 3: Cross multiply
    119,105.28x = 164,365.57 × 65,393.76
  4. Step 4: Simplify right side
    119,105.28x = 10,748,483,334.96
  5. Step 5: Solve for x
    x = 10,748,483,334.96/119,105.28
  6. Step 6: Final answer
    x = 90,243.55

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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.