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Finding the Fourth Proportional to 402,187.20, 603,361.80 and 117,877.20

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Solution

The fourth proportional to 402,187.20, 603,361.80 and 117,877.20 is: 176,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,187.20 : 603,361.80 = 117,877.20 : x
  2. Step 2: Convert to fraction form
    402,187.20/603,361.80 = 117,877.20/x
  3. Step 3: Cross multiply
    402,187.20x = 603,361.80 × 117,877.20
  4. Step 4: Simplify right side
    402,187.20x = 71,122,599,570.96
  5. Step 5: Solve for x
    x = 71,122,599,570.96/402,187.20
  6. Step 6: Final answer
    x = 176,839.54

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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.