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Finding the Fourth Proportional to 119,322.19, 164,664.74 and 65,608.12

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Solution

The fourth proportional to 119,322.19, 164,664.74 and 65,608.12 is: 90,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322.19 : 164,664.74 = 65,608.12 : x
  2. Step 2: Convert to fraction form
    119,322.19/164,664.74 = 65,608.12/x
  3. Step 3: Cross multiply
    119,322.19x = 164,664.74 × 65,608.12
  4. Step 4: Simplify right side
    119,322.19x = 10,803,344,021.69
  5. Step 5: Solve for x
    x = 10,803,344,021.69/119,322.19
  6. Step 6: Final answer
    x = 90,539.27

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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.