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Finding the Fourth Proportional to 119,590.13, 165,034.38 and 65,874.98

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Solution

The fourth proportional to 119,590.13, 165,034.38 and 65,874.98 is: 90,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590.13 : 165,034.38 = 65,874.98 : x
  2. Step 2: Convert to fraction form
    119,590.13/165,034.38 = 65,874.98/x
  3. Step 3: Cross multiply
    119,590.13x = 165,034.38 × 65,874.98
  4. Step 4: Simplify right side
    119,590.13x = 10,871,635,656.64
  5. Step 5: Solve for x
    x = 10,871,635,656.64/119,590.13
  6. Step 6: Final answer
    x = 90,907.47

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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.