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Finding the Fourth Proportional to 229,814.01, 344,730.28 and 80,069.46

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Solution

The fourth proportional to 229,814.01, 344,730.28 and 80,069.46 is: 120,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814.01 : 344,730.28 = 80,069.46 : x
  2. Step 2: Convert to fraction form
    229,814.01/344,730.28 = 80,069.46/x
  3. Step 3: Cross multiply
    229,814.01x = 344,730.28 × 80,069.46
  4. Step 4: Simplify right side
    229,814.01x = 27,602,367,961.57
  5. Step 5: Solve for x
    x = 27,602,367,961.57/229,814.01
  6. Step 6: Final answer
    x = 120,107.42

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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.