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Finding the Fourth Proportional to 121,858.36, 182,662.92 and 46,949.17

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Solution

The fourth proportional to 121,858.36, 182,662.92 and 46,949.17 is: 70,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,858.36 : 182,662.92 = 46,949.17 : x
  2. Step 2: Convert to fraction form
    121,858.36/182,662.92 = 46,949.17/x
  3. Step 3: Cross multiply
    121,858.36x = 182,662.92 × 46,949.17
  4. Step 4: Simplify right side
    121,858.36x = 8,575,872,483.78
  5. Step 5: Solve for x
    x = 8,575,872,483.78/121,858.36
  6. Step 6: Final answer
    x = 70,375.74

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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.