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Finding the Fourth Proportional to 260,967, 360,134.46 and 141,735

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Solution

The fourth proportional to 260,967, 360,134.46 and 141,735 is: 195,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,967 : 360,134.46 = 141,735 : x
  2. Step 2: Convert to fraction form
    260,967/360,134.46 = 141,735/x
  3. Step 3: Cross multiply
    260,967x = 360,134.46 × 141,735
  4. Step 4: Simplify right side
    260,967x = 51,043,657,688.10
  5. Step 5: Solve for x
    x = 51,043,657,688.10/260,967
  6. Step 6: Final answer
    x = 195,594.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.