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Finding the Fourth Proportional to 201,411.26, 302,141.50 and 68,329.60

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Solution

The fourth proportional to 201,411.26, 302,141.50 and 68,329.60 is: 102,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411.26 : 302,141.50 = 68,329.60 : x
  2. Step 2: Convert to fraction form
    201,411.26/302,141.50 = 68,329.60/x
  3. Step 3: Cross multiply
    201,411.26x = 302,141.50 × 68,329.60
  4. Step 4: Simplify right side
    201,411.26x = 20,645,207,838.40
  5. Step 5: Solve for x
    x = 20,645,207,838.40/201,411.26
  6. Step 6: Final answer
    x = 102,502.75

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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.