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Finding the Fourth Proportional to 109,651.60, 164,543.01 and 100,728.64

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Solution

The fourth proportional to 109,651.60, 164,543.01 and 100,728.64 is: 151,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.60 : 164,543.01 = 100,728.64 : x
  2. Step 2: Convert to fraction form
    109,651.60/164,543.01 = 100,728.64/x
  3. Step 3: Cross multiply
    109,651.60x = 164,543.01 × 100,728.64
  4. Step 4: Simplify right side
    109,651.60x = 16,574,193,446.75
  5. Step 5: Solve for x
    x = 16,574,193,446.75/109,651.60
  6. Step 6: Final answer
    x = 151,153.23

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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.