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Finding the Fourth Proportional to 119,614.93, 165,072.84 and 65,904.03

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Solution

The fourth proportional to 119,614.93, 165,072.84 and 65,904.03 is: 90,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,614.93 : 165,072.84 = 65,904.03 : x
  2. Step 2: Convert to fraction form
    119,614.93/165,072.84 = 65,904.03/x
  3. Step 3: Cross multiply
    119,614.93x = 165,072.84 × 65,904.03
  4. Step 4: Simplify right side
    119,614.93x = 10,878,965,399.55
  5. Step 5: Solve for x
    x = 10,878,965,399.55/119,614.93
  6. Step 6: Final answer
    x = 90,949.90

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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.