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Finding the Fourth Proportional to 119,853.44, 165,397.62 and 66,138.44

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Solution

The fourth proportional to 119,853.44, 165,397.62 and 66,138.44 is: 91,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,853.44 : 165,397.62 = 66,138.44 : x
  2. Step 2: Convert to fraction form
    119,853.44/165,397.62 = 66,138.44/x
  3. Step 3: Cross multiply
    119,853.44x = 165,397.62 × 66,138.44
  4. Step 4: Simplify right side
    119,853.44x = 10,939,140,566.51
  5. Step 5: Solve for x
    x = 10,939,140,566.51/119,853.44
  6. Step 6: Final answer
    x = 91,270.98

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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.