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Finding the Fourth Proportional to 117,302, 175,843.68 and 46,263.20

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Solution

The fourth proportional to 117,302, 175,843.68 and 46,263.20 is: 69,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302 : 175,843.68 = 46,263.20 : x
  2. Step 2: Convert to fraction form
    117,302/175,843.68 = 46,263.20/x
  3. Step 3: Cross multiply
    117,302x = 175,843.68 × 46,263.20
  4. Step 4: Simplify right side
    117,302x = 8,135,091,336.58
  5. Step 5: Solve for x
    x = 8,135,091,336.58/117,302
  6. Step 6: Final answer
    x = 69,351.68

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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.