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Finding the Fourth Proportional to 119,569.36, 164,999.10 and 65,844.22

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Solution

The fourth proportional to 119,569.36, 164,999.10 and 65,844.22 is: 90,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,569.36 : 164,999.10 = 65,844.22 : x
  2. Step 2: Convert to fraction form
    119,569.36/164,999.10 = 65,844.22/x
  3. Step 3: Cross multiply
    119,569.36x = 164,999.10 × 65,844.22
  4. Step 4: Simplify right side
    119,569.36x = 10,864,237,040.20
  5. Step 5: Solve for x
    x = 10,864,237,040.20/119,569.36
  6. Step 6: Final answer
    x = 90,861.38

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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.