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Finding the Fourth Proportional to 119,459.87, 164,851.31 and 67,786.38

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Solution

The fourth proportional to 119,459.87, 164,851.31 and 67,786.38 is: 93,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,459.87 : 164,851.31 = 67,786.38 : x
  2. Step 2: Convert to fraction form
    119,459.87/164,851.31 = 67,786.38/x
  3. Step 3: Cross multiply
    119,459.87x = 164,851.31 × 67,786.38
  4. Step 4: Simplify right side
    119,459.87x = 11,174,673,204.23
  5. Step 5: Solve for x
    x = 11,174,673,204.23/119,459.87
  6. Step 6: Final answer
    x = 93,543.32

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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.