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Finding the Fourth Proportional to 228,998.60, 343,400.70 and 110,706.20

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Solution

The fourth proportional to 228,998.60, 343,400.70 and 110,706.20 is: 166,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,998.60 : 343,400.70 = 110,706.20 : x
  2. Step 2: Convert to fraction form
    228,998.60/343,400.70 = 110,706.20/x
  3. Step 3: Cross multiply
    228,998.60x = 343,400.70 × 110,706.20
  4. Step 4: Simplify right side
    228,998.60x = 38,016,586,574.34
  5. Step 5: Solve for x
    x = 38,016,586,574.34/228,998.60
  6. Step 6: Final answer
    x = 166,012.31

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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.