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Finding the Fourth Proportional to 119,782.46, 165,293.82 and 66,064.26

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Solution

The fourth proportional to 119,782.46, 165,293.82 and 66,064.26 is: 91,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,782.46 : 165,293.82 = 66,064.26 : x
  2. Step 2: Convert to fraction form
    119,782.46/165,293.82 = 66,064.26/x
  3. Step 3: Cross multiply
    119,782.46x = 165,293.82 × 66,064.26
  4. Step 4: Simplify right side
    119,782.46x = 10,920,013,900.87
  5. Step 5: Solve for x
    x = 10,920,013,900.87/119,782.46
  6. Step 6: Final answer
    x = 91,165.38

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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.