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Finding the Fourth Proportional to 106,914.60, 160,410.30 and 103,074.60

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Solution

The fourth proportional to 106,914.60, 160,410.30 and 103,074.60 is: 154,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914.60 : 160,410.30 = 103,074.60 : x
  2. Step 2: Convert to fraction form
    106,914.60/160,410.30 = 103,074.60/x
  3. Step 3: Cross multiply
    106,914.60x = 160,410.30 × 103,074.60
  4. Step 4: Simplify right side
    106,914.60x = 16,534,227,508.38
  5. Step 5: Solve for x
    x = 16,534,227,508.38/106,914.60
  6. Step 6: Final answer
    x = 154,648.92

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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.