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Finding the Fourth Proportional to 402,036.54, 603,142.29 and 121,546.50

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Solution

The fourth proportional to 402,036.54, 603,142.29 and 121,546.50 is: 182,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,036.54 : 603,142.29 = 121,546.50 : x
  2. Step 2: Convert to fraction form
    402,036.54/603,142.29 = 121,546.50/x
  3. Step 3: Cross multiply
    402,036.54x = 603,142.29 × 121,546.50
  4. Step 4: Simplify right side
    402,036.54x = 73,309,834,351.49
  5. Step 5: Solve for x
    x = 73,309,834,351.49/402,036.54
  6. Step 6: Final answer
    x = 182,346.20

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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.