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Finding the Fourth Proportional to 229,105.60, 343,744.80 and 110,881.60

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Solution

The fourth proportional to 229,105.60, 343,744.80 and 110,881.60 is: 166,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,105.60 : 343,744.80 = 110,881.60 : x
  2. Step 2: Convert to fraction form
    229,105.60/343,744.80 = 110,881.60/x
  3. Step 3: Cross multiply
    229,105.60x = 343,744.80 × 110,881.60
  4. Step 4: Simplify right side
    229,105.60x = 38,114,973,415.68
  5. Step 5: Solve for x
    x = 38,114,973,415.68/229,105.60
  6. Step 6: Final answer
    x = 166,364.22

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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.