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Finding the Fourth Proportional to 402,076.90, 603,115.35 and 106,588.90

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Solution

The fourth proportional to 402,076.90, 603,115.35 and 106,588.90 is: 159,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,076.90 : 603,115.35 = 106,588.90 : x
  2. Step 2: Convert to fraction form
    402,076.90/603,115.35 = 106,588.90/x
  3. Step 3: Cross multiply
    402,076.90x = 603,115.35 × 106,588.90
  4. Step 4: Simplify right side
    402,076.90x = 64,285,401,729.62
  5. Step 5: Solve for x
    x = 64,285,401,729.62/402,076.90
  6. Step 6: Final answer
    x = 159,883.35

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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.