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Finding the Fourth Proportional to 119,142.09, 164,420.28 and 65,428.56

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Solution

The fourth proportional to 119,142.09, 164,420.28 and 65,428.56 is: 90,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142.09 : 164,420.28 = 65,428.56 : x
  2. Step 2: Convert to fraction form
    119,142.09/164,420.28 = 65,428.56/x
  3. Step 3: Cross multiply
    119,142.09x = 164,420.28 × 65,428.56
  4. Step 4: Simplify right side
    119,142.09x = 10,757,782,155.20
  5. Step 5: Solve for x
    x = 10,757,782,155.20/119,142.09
  6. Step 6: Final answer
    x = 90,293.72

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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.