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Finding the Fourth Proportional to 260,206.57, 390,398.47 and 140,275.11

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Solution

The fourth proportional to 260,206.57, 390,398.47 and 140,275.11 is: 210,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,206.57 : 390,398.47 = 140,275.11 : x
  2. Step 2: Convert to fraction form
    260,206.57/390,398.47 = 140,275.11/x
  3. Step 3: Cross multiply
    260,206.57x = 390,398.47 × 140,275.11
  4. Step 4: Simplify right side
    260,206.57x = 54,763,190,512.73
  5. Step 5: Solve for x
    x = 54,763,190,512.73/260,206.57
  6. Step 6: Final answer
    x = 210,460.44

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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.