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Finding the Fourth Proportional to 119,253.56, 164,574.23 and 65,542.65

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Solution

The fourth proportional to 119,253.56, 164,574.23 and 65,542.65 is: 90,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,253.56 : 164,574.23 = 65,542.65 : x
  2. Step 2: Convert to fraction form
    119,253.56/164,574.23 = 65,542.65/x
  3. Step 3: Cross multiply
    119,253.56x = 164,574.23 × 65,542.65
  4. Step 4: Simplify right side
    119,253.56x = 10,786,630,828.20
  5. Step 5: Solve for x
    x = 10,786,630,828.20/119,253.56
  6. Step 6: Final answer
    x = 90,451.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.