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Finding the Fourth Proportional to 260,194.87, 359,064.25 and 147,015.19

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Solution

The fourth proportional to 260,194.87, 359,064.25 and 147,015.19 is: 202,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,194.87 : 359,064.25 = 147,015.19 : x
  2. Step 2: Convert to fraction form
    260,194.87/359,064.25 = 147,015.19/x
  3. Step 3: Cross multiply
    260,194.87x = 359,064.25 × 147,015.19
  4. Step 4: Simplify right side
    260,194.87x = 52,787,898,935.96
  5. Step 5: Solve for x
    x = 52,787,898,935.96/260,194.87
  6. Step 6: Final answer
    x = 202,878.32

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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.