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Finding the Fourth Proportional to 119,042.14, 164,280.63 and 65,324.02

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Solution

The fourth proportional to 119,042.14, 164,280.63 and 65,324.02 is: 90,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,042.14 : 164,280.63 = 65,324.02 : x
  2. Step 2: Convert to fraction form
    119,042.14/164,280.63 = 65,324.02/x
  3. Step 3: Cross multiply
    119,042.14x = 164,280.63 × 65,324.02
  4. Step 4: Simplify right side
    119,042.14x = 10,731,471,159.73
  5. Step 5: Solve for x
    x = 10,731,471,159.73/119,042.14
  6. Step 6: Final answer
    x = 90,148.51

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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.