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Finding the Fourth Proportional to 119,053.17, 164,293.24 and 65,338.32

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Solution

The fourth proportional to 119,053.17, 164,293.24 and 65,338.32 is: 90,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,053.17 : 164,293.24 = 65,338.32 : x
  2. Step 2: Convert to fraction form
    119,053.17/164,293.24 = 65,338.32/x
  3. Step 3: Cross multiply
    119,053.17x = 164,293.24 × 65,338.32
  4. Step 4: Simplify right side
    119,053.17x = 10,734,644,288.96
  5. Step 5: Solve for x
    x = 10,734,644,288.96/119,053.17
  6. Step 6: Final answer
    x = 90,166.81

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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.