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Finding the Fourth Proportional to 117,204.21, 175,811.16 and 34,098.21

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Solution

The fourth proportional to 117,204.21, 175,811.16 and 34,098.21 is: 51,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204.21 : 175,811.16 = 34,098.21 : x
  2. Step 2: Convert to fraction form
    117,204.21/175,811.16 = 34,098.21/x
  3. Step 3: Cross multiply
    117,204.21x = 175,811.16 × 34,098.21
  4. Step 4: Simplify right side
    117,204.21x = 5,994,845,854.02
  5. Step 5: Solve for x
    x = 5,994,845,854.02/117,204.21
  6. Step 6: Final answer
    x = 51,148.72

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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.