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Finding the Fourth Proportional to 110,730.60, 166,095.90 and 106,356.60

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Solution

The fourth proportional to 110,730.60, 166,095.90 and 106,356.60 is: 159,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730.60 : 166,095.90 = 106,356.60 : x
  2. Step 2: Convert to fraction form
    110,730.60/166,095.90 = 106,356.60/x
  3. Step 3: Cross multiply
    110,730.60x = 166,095.90 × 106,356.60
  4. Step 4: Simplify right side
    110,730.60x = 17,665,395,197.94
  5. Step 5: Solve for x
    x = 17,665,395,197.94/110,730.60
  6. Step 6: Final answer
    x = 159,534.90

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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.