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Finding the Fourth Proportional to 119,590.36, 165,033.93 and 65,874.13

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Solution

The fourth proportional to 119,590.36, 165,033.93 and 65,874.13 is: 90,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590.36 : 165,033.93 = 65,874.13 : x
  2. Step 2: Convert to fraction form
    119,590.36/165,033.93 = 65,874.13/x
  3. Step 3: Cross multiply
    119,590.36x = 165,033.93 × 65,874.13
  4. Step 4: Simplify right side
    119,590.36x = 10,871,466,559.23
  5. Step 5: Solve for x
    x = 10,871,466,559.23/119,590.36
  6. Step 6: Final answer
    x = 90,905.88

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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.