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Finding the Fourth Proportional to 106,999.58, 147,659.86 and 59,251.91

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Solution

The fourth proportional to 106,999.58, 147,659.86 and 59,251.91 is: 81,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999.58 : 147,659.86 = 59,251.91 : x
  2. Step 2: Convert to fraction form
    106,999.58/147,659.86 = 59,251.91/x
  3. Step 3: Cross multiply
    106,999.58x = 147,659.86 × 59,251.91
  4. Step 4: Simplify right side
    106,999.58x = 8,749,128,071.10
  5. Step 5: Solve for x
    x = 8,749,128,071.10/106,999.58
  6. Step 6: Final answer
    x = 81,767.87

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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.