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Finding the Fourth Proportional to 119,853.84, 165,398.15 and 66,138.86

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Solution

The fourth proportional to 119,853.84, 165,398.15 and 66,138.86 is: 91,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,853.84 : 165,398.15 = 66,138.86 : x
  2. Step 2: Convert to fraction form
    119,853.84/165,398.15 = 66,138.86/x
  3. Step 3: Cross multiply
    119,853.84x = 165,398.15 × 66,138.86
  4. Step 4: Simplify right side
    119,853.84x = 10,939,245,665.95
  5. Step 5: Solve for x
    x = 10,939,245,665.95/119,853.84
  6. Step 6: Final answer
    x = 91,271.55

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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.