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Finding the Fourth Proportional to 119,013, 164,455.26 and 86,691.36

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Solution

The fourth proportional to 119,013, 164,455.26 and 86,691.36 is: 119,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013 : 164,455.26 = 86,691.36 : x
  2. Step 2: Convert to fraction form
    119,013/164,455.26 = 86,691.36/x
  3. Step 3: Cross multiply
    119,013x = 164,455.26 × 86,691.36
  4. Step 4: Simplify right side
    119,013x = 14,256,850,148.55
  5. Step 5: Solve for x
    x = 14,256,850,148.55/119,013
  6. Step 6: Final answer
    x = 119,792.38

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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.