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Finding the Fourth Proportional to 229,097.60, 343,732.80 and 110,873.60

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Solution

The fourth proportional to 229,097.60, 343,732.80 and 110,873.60 is: 166,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,097.60 : 343,732.80 = 110,873.60 : x
  2. Step 2: Convert to fraction form
    229,097.60/343,732.80 = 110,873.60/x
  3. Step 3: Cross multiply
    229,097.60x = 343,732.80 × 110,873.60
  4. Step 4: Simplify right side
    229,097.60x = 38,110,892,974.08
  5. Step 5: Solve for x
    x = 38,110,892,974.08/229,097.60
  6. Step 6: Final answer
    x = 166,352.21

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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.