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Finding the Fourth Proportional to 117,568.80, 176,396.40 and 47,455.20

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Solution

The fourth proportional to 117,568.80, 176,396.40 and 47,455.20 is: 71,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,568.80 : 176,396.40 = 47,455.20 : x
  2. Step 2: Convert to fraction form
    117,568.80/176,396.40 = 47,455.20/x
  3. Step 3: Cross multiply
    117,568.80x = 176,396.40 × 47,455.20
  4. Step 4: Simplify right side
    117,568.80x = 8,370,926,441.28
  5. Step 5: Solve for x
    x = 8,370,926,441.28/117,568.80
  6. Step 6: Final answer
    x = 71,200.24

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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.