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Finding the Fourth Proportional to 117,118.98, 175,679.96 and 41,219.82

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Solution

The fourth proportional to 117,118.98, 175,679.96 and 41,219.82 is: 61,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,118.98 : 175,679.96 = 41,219.82 : x
  2. Step 2: Convert to fraction form
    117,118.98/175,679.96 = 41,219.82/x
  3. Step 3: Cross multiply
    117,118.98x = 175,679.96 × 41,219.82
  4. Step 4: Simplify right side
    117,118.98x = 7,241,496,122.71
  5. Step 5: Solve for x
    x = 7,241,496,122.71/117,118.98
  6. Step 6: Final answer
    x = 61,830.25

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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.