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Finding the Fourth Proportional to 116,728.60, 175,092.90 and 109,816.60

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Solution

The fourth proportional to 116,728.60, 175,092.90 and 109,816.60 is: 164,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,728.60 : 175,092.90 = 109,816.60 : x
  2. Step 2: Convert to fraction form
    116,728.60/175,092.90 = 109,816.60/x
  3. Step 3: Cross multiply
    116,728.60x = 175,092.90 × 109,816.60
  4. Step 4: Simplify right side
    116,728.60x = 19,228,106,962.14
  5. Step 5: Solve for x
    x = 19,228,106,962.14/116,728.60
  6. Step 6: Final answer
    x = 164,724.90

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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.