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Finding the Fourth Proportional to 146,150.39, 201,721.25 and 85,740.44

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Solution

The fourth proportional to 146,150.39, 201,721.25 and 85,740.44 is: 118,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,150.39 : 201,721.25 = 85,740.44 : x
  2. Step 2: Convert to fraction form
    146,150.39/201,721.25 = 85,740.44/x
  3. Step 3: Cross multiply
    146,150.39x = 201,721.25 × 85,740.44
  4. Step 4: Simplify right side
    146,150.39x = 17,295,668,732.35
  5. Step 5: Solve for x
    x = 17,295,668,732.35/146,150.39
  6. Step 6: Final answer
    x = 118,341.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.