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Finding the Fourth Proportional to 106,815.60, 160,237.80 and 36,716.40

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Solution

The fourth proportional to 106,815.60, 160,237.80 and 36,716.40 is: 55,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815.60 : 160,237.80 = 36,716.40 : x
  2. Step 2: Convert to fraction form
    106,815.60/160,237.80 = 36,716.40/x
  3. Step 3: Cross multiply
    106,815.60x = 160,237.80 × 36,716.40
  4. Step 4: Simplify right side
    106,815.60x = 5,883,355,159.92
  5. Step 5: Solve for x
    x = 5,883,355,159.92/106,815.60
  6. Step 6: Final answer
    x = 55,079.55

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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.