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Finding the Fourth Proportional to 106,071.92, 146,410.26 and 63,081.64

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Solution

The fourth proportional to 106,071.92, 146,410.26 and 63,081.64 is: 87,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,071.92 : 146,410.26 = 63,081.64 : x
  2. Step 2: Convert to fraction form
    106,071.92/146,410.26 = 63,081.64/x
  3. Step 3: Cross multiply
    106,071.92x = 146,410.26 × 63,081.64
  4. Step 4: Simplify right side
    106,071.92x = 9,235,799,313.63
  5. Step 5: Solve for x
    x = 9,235,799,313.63/106,071.92
  6. Step 6: Final answer
    x = 87,071.11

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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.