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Finding the Fourth Proportional to 260,150.20, 390,225.30 and 166,838.20

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Solution

The fourth proportional to 260,150.20, 390,225.30 and 166,838.20 is: 250,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,150.20 : 390,225.30 = 166,838.20 : x
  2. Step 2: Convert to fraction form
    260,150.20/390,225.30 = 166,838.20/x
  3. Step 3: Cross multiply
    260,150.20x = 390,225.30 × 166,838.20
  4. Step 4: Simplify right side
    260,150.20x = 65,104,486,646.46
  5. Step 5: Solve for x
    x = 65,104,486,646.46/260,150.20
  6. Step 6: Final answer
    x = 250,257.30

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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.