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Finding the Fourth Proportional to 117,422.31, 175,906.78 and 70,075.23

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Solution

The fourth proportional to 117,422.31, 175,906.78 and 70,075.23 is: 104,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,422.31 : 175,906.78 = 70,075.23 : x
  2. Step 2: Convert to fraction form
    117,422.31/175,906.78 = 70,075.23/x
  3. Step 3: Cross multiply
    117,422.31x = 175,906.78 × 70,075.23
  4. Step 4: Simplify right side
    117,422.31x = 12,326,708,067.06
  5. Step 5: Solve for x
    x = 12,326,708,067.06/117,422.31
  6. Step 6: Final answer
    x = 104,977.56

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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.