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Finding the Fourth Proportional to 231,059.60, 346,589.40 and 106,643.60

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Solution

The fourth proportional to 231,059.60, 346,589.40 and 106,643.60 is: 159,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,059.60 : 346,589.40 = 106,643.60 : x
  2. Step 2: Convert to fraction form
    231,059.60/346,589.40 = 106,643.60/x
  3. Step 3: Cross multiply
    231,059.60x = 346,589.40 × 106,643.60
  4. Step 4: Simplify right side
    231,059.60x = 36,961,541,337.84
  5. Step 5: Solve for x
    x = 36,961,541,337.84/231,059.60
  6. Step 6: Final answer
    x = 159,965.40

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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.