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Finding the Fourth Proportional to 106,994.83, 147,651.05 and 59,247.16

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Solution

The fourth proportional to 106,994.83, 147,651.05 and 59,247.16 is: 81,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994.83 : 147,651.05 = 59,247.16 : x
  2. Step 2: Convert to fraction form
    106,994.83/147,651.05 = 59,247.16/x
  3. Step 3: Cross multiply
    106,994.83x = 147,651.05 × 59,247.16
  4. Step 4: Simplify right side
    106,994.83x = 8,747,905,383.52
  5. Step 5: Solve for x
    x = 8,747,905,383.52/106,994.83
  6. Step 6: Final answer
    x = 81,760.08

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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.