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Finding the Fourth Proportional to 119,129.76, 164,399.52 and 64,682.01

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Solution

The fourth proportional to 119,129.76, 164,399.52 and 64,682.01 is: 89,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,129.76 : 164,399.52 = 64,682.01 : x
  2. Step 2: Convert to fraction form
    119,129.76/164,399.52 = 64,682.01/x
  3. Step 3: Cross multiply
    119,129.76x = 164,399.52 × 64,682.01
  4. Step 4: Simplify right side
    119,129.76x = 10,633,691,396.64
  5. Step 5: Solve for x
    x = 10,633,691,396.64/119,129.76
  6. Step 6: Final answer
    x = 89,261.42

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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.