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Finding the Fourth Proportional to 229,009.60, 343,417.20 and 110,717.20

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Solution

The fourth proportional to 229,009.60, 343,417.20 and 110,717.20 is: 166,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,009.60 : 343,417.20 = 110,717.20 : x
  2. Step 2: Convert to fraction form
    229,009.60/343,417.20 = 110,717.20/x
  3. Step 3: Cross multiply
    229,009.60x = 343,417.20 × 110,717.20
  4. Step 4: Simplify right side
    229,009.60x = 38,022,190,815.84
  5. Step 5: Solve for x
    x = 38,022,190,815.84/229,009.60
  6. Step 6: Final answer
    x = 166,028.81

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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.