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Finding the Fourth Proportional to 402,143.22, 603,301.59 and 135,897.84

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Solution

The fourth proportional to 402,143.22, 603,301.59 and 135,897.84 is: 203,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,143.22 : 603,301.59 = 135,897.84 : x
  2. Step 2: Convert to fraction form
    402,143.22/603,301.59 = 135,897.84/x
  3. Step 3: Cross multiply
    402,143.22x = 603,301.59 × 135,897.84
  4. Step 4: Simplify right side
    402,143.22x = 81,987,382,949.57
  5. Step 5: Solve for x
    x = 81,987,382,949.57/402,143.22
  6. Step 6: Final answer
    x = 203,876.08

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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.