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Finding the Fourth Proportional to 229,308.69, 343,073.11 and 201,015.93

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Solution

The fourth proportional to 229,308.69, 343,073.11 and 201,015.93 is: 300,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,308.69 : 343,073.11 = 201,015.93 : x
  2. Step 2: Convert to fraction form
    229,308.69/343,073.11 = 201,015.93/x
  3. Step 3: Cross multiply
    229,308.69x = 343,073.11 × 201,015.93
  4. Step 4: Simplify right side
    229,308.69x = 68,963,160,264.64
  5. Step 5: Solve for x
    x = 68,963,160,264.64/229,308.69
  6. Step 6: Final answer
    x = 300,743.77

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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.