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Finding the Fourth Proportional to 119,857.62, 165,400.47 and 66,141.93

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Solution

The fourth proportional to 119,857.62, 165,400.47 and 66,141.93 is: 91,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,857.62 : 165,400.47 = 66,141.93 : x
  2. Step 2: Convert to fraction form
    119,857.62/165,400.47 = 66,141.93/x
  3. Step 3: Cross multiply
    119,857.62x = 165,400.47 × 66,141.93
  4. Step 4: Simplify right side
    119,857.62x = 10,939,906,308.71
  5. Step 5: Solve for x
    x = 10,939,906,308.71/119,857.62
  6. Step 6: Final answer
    x = 91,274.18

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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.