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Finding the Fourth Proportional to 106,658.64, 147,142.44 and 64,193.04

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Solution

The fourth proportional to 106,658.64, 147,142.44 and 64,193.04 is: 88,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658.64 : 147,142.44 = 64,193.04 : x
  2. Step 2: Convert to fraction form
    106,658.64/147,142.44 = 64,193.04/x
  3. Step 3: Cross multiply
    106,658.64x = 147,142.44 × 64,193.04
  4. Step 4: Simplify right side
    106,658.64x = 9,445,520,536.62
  5. Step 5: Solve for x
    x = 9,445,520,536.62/106,658.64
  6. Step 6: Final answer
    x = 88,558.42

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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.