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Finding the Fourth Proportional to 117,098.88, 175,679.96 and 42,227.32

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Solution

The fourth proportional to 117,098.88, 175,679.96 and 42,227.32 is: 63,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098.88 : 175,679.96 = 42,227.32 : x
  2. Step 2: Convert to fraction form
    117,098.88/175,679.96 = 42,227.32/x
  3. Step 3: Cross multiply
    117,098.88x = 175,679.96 × 42,227.32
  4. Step 4: Simplify right side
    117,098.88x = 7,418,493,888.51
  5. Step 5: Solve for x
    x = 7,418,493,888.51/117,098.88
  6. Step 6: Final answer
    x = 63,352.39

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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.