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Finding the Fourth Proportional to 117,107.66, 175,641.48 and 42,212.90

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Solution

The fourth proportional to 117,107.66, 175,641.48 and 42,212.90 is: 63,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,107.66 : 175,641.48 = 42,212.90 : x
  2. Step 2: Convert to fraction form
    117,107.66/175,641.48 = 42,212.90/x
  3. Step 3: Cross multiply
    117,107.66x = 175,641.48 × 42,212.90
  4. Step 4: Simplify right side
    117,107.66x = 7,414,336,231.09
  5. Step 5: Solve for x
    x = 7,414,336,231.09/117,107.66
  6. Step 6: Final answer
    x = 63,312.14

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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.