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Finding the Fourth Proportional to 119,574.24, 165,013.56 and 65,861.16

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Solution

The fourth proportional to 119,574.24, 165,013.56 and 65,861.16 is: 90,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574.24 : 165,013.56 = 65,861.16 : x
  2. Step 2: Convert to fraction form
    119,574.24/165,013.56 = 65,861.16/x
  3. Step 3: Cross multiply
    119,574.24x = 165,013.56 × 65,861.16
  4. Step 4: Simplify right side
    119,574.24x = 10,867,984,477.33
  5. Step 5: Solve for x
    x = 10,867,984,477.33/119,574.24
  6. Step 6: Final answer
    x = 90,889.01

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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.