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Finding the Fourth Proportional to 189,329.64, 283,986.24 and 47,175.60

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Solution

The fourth proportional to 189,329.64, 283,986.24 and 47,175.60 is: 70,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,329.64 : 283,986.24 = 47,175.60 : x
  2. Step 2: Convert to fraction form
    189,329.64/283,986.24 = 47,175.60/x
  3. Step 3: Cross multiply
    189,329.64x = 283,986.24 × 47,175.60
  4. Step 4: Simplify right side
    189,329.64x = 13,397,221,263.74
  5. Step 5: Solve for x
    x = 13,397,221,263.74/189,329.64
  6. Step 6: Final answer
    x = 70,761.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.