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Finding the Fourth Proportional to 260,130.92, 389,895.18 and 119,594.60

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Solution

The fourth proportional to 260,130.92, 389,895.18 and 119,594.60 is: 179,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,130.92 : 389,895.18 = 119,594.60 : x
  2. Step 2: Convert to fraction form
    260,130.92/389,895.18 = 119,594.60/x
  3. Step 3: Cross multiply
    260,130.92x = 389,895.18 × 119,594.60
  4. Step 4: Simplify right side
    260,130.92x = 46,629,358,094.03
  5. Step 5: Solve for x
    x = 46,629,358,094.03/260,130.92
  6. Step 6: Final answer
    x = 179,253.42

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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.