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Finding the Fourth Proportional to 117,193.64, 175,801.26 and 38,308.28

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Solution

The fourth proportional to 117,193.64, 175,801.26 and 38,308.28 is: 57,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,193.64 : 175,801.26 = 38,308.28 : x
  2. Step 2: Convert to fraction form
    117,193.64/175,801.26 = 38,308.28/x
  3. Step 3: Cross multiply
    117,193.64x = 175,801.26 × 38,308.28
  4. Step 4: Simplify right side
    117,193.64x = 6,734,643,892.43
  5. Step 5: Solve for x
    x = 6,734,643,892.43/117,193.64
  6. Step 6: Final answer
    x = 57,465.95

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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.