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Finding the Fourth Proportional to 106,580.66, 158,944.60 and 105,150.57

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Solution

The fourth proportional to 106,580.66, 158,944.60 and 105,150.57 is: 156,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.66 : 158,944.60 = 105,150.57 : x
  2. Step 2: Convert to fraction form
    106,580.66/158,944.60 = 105,150.57/x
  3. Step 3: Cross multiply
    106,580.66x = 158,944.60 × 105,150.57
  4. Step 4: Simplify right side
    106,580.66x = 16,713,114,823.82
  5. Step 5: Solve for x
    x = 16,713,114,823.82/106,580.66
  6. Step 6: Final answer
    x = 156,811.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.