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Finding the Fourth Proportional to 387,358.78, 581,071.62 and 106,876.03

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Solution

The fourth proportional to 387,358.78, 581,071.62 and 106,876.03 is: 160,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,358.78 : 581,071.62 = 106,876.03 : x
  2. Step 2: Convert to fraction form
    387,358.78/581,071.62 = 106,876.03/x
  3. Step 3: Cross multiply
    387,358.78x = 581,071.62 × 106,876.03
  4. Step 4: Simplify right side
    387,358.78x = 62,102,627,891.27
  5. Step 5: Solve for x
    x = 62,102,627,891.27/387,358.78
  6. Step 6: Final answer
    x = 160,323.27

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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.