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Finding the Fourth Proportional to 117,261.60, 175,978.80 and 47,191.20

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Solution

The fourth proportional to 117,261.60, 175,978.80 and 47,191.20 is: 70,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,261.60 : 175,978.80 = 47,191.20 : x
  2. Step 2: Convert to fraction form
    117,261.60/175,978.80 = 47,191.20/x
  3. Step 3: Cross multiply
    117,261.60x = 175,978.80 × 47,191.20
  4. Step 4: Simplify right side
    117,261.60x = 8,304,650,746.56
  5. Step 5: Solve for x
    x = 8,304,650,746.56/117,261.60
  6. Step 6: Final answer
    x = 70,821.57

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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.