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Finding the Fourth Proportional to 230,941.80, 346,412.70 and 220,116.15

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Solution

The fourth proportional to 230,941.80, 346,412.70 and 220,116.15 is: 330,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,941.80 : 346,412.70 = 220,116.15 : x
  2. Step 2: Convert to fraction form
    230,941.80/346,412.70 = 220,116.15/x
  3. Step 3: Cross multiply
    230,941.80x = 346,412.70 × 220,116.15
  4. Step 4: Simplify right side
    230,941.80x = 76,251,029,835.11
  5. Step 5: Solve for x
    x = 76,251,029,835.11/230,941.80
  6. Step 6: Final answer
    x = 330,174.23

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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.