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Finding the Fourth Proportional to 117,280.40, 175,855.80 and 47,080.40

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Solution

The fourth proportional to 117,280.40, 175,855.80 and 47,080.40 is: 70,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280.40 : 175,855.80 = 47,080.40 : x
  2. Step 2: Convert to fraction form
    117,280.40/175,855.80 = 47,080.40/x
  3. Step 3: Cross multiply
    117,280.40x = 175,855.80 × 47,080.40
  4. Step 4: Simplify right side
    117,280.40x = 8,279,361,406.32
  5. Step 5: Solve for x
    x = 8,279,361,406.32/117,280.40
  6. Step 6: Final answer
    x = 70,594.59

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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.