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Finding the Fourth Proportional to 106,445.76, 159,668.64 and 73,064.60

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Solution

The fourth proportional to 106,445.76, 159,668.64 and 73,064.60 is: 109,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,445.76 : 159,668.64 = 73,064.60 : x
  2. Step 2: Convert to fraction form
    106,445.76/159,668.64 = 73,064.60/x
  3. Step 3: Cross multiply
    106,445.76x = 159,668.64 × 73,064.60
  4. Step 4: Simplify right side
    106,445.76x = 11,666,125,314.14
  5. Step 5: Solve for x
    x = 11,666,125,314.14/106,445.76
  6. Step 6: Final answer
    x = 109,596.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.