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Finding the Fourth Proportional to 260,138.40, 390,207.60 and 201,089.40

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Solution

The fourth proportional to 260,138.40, 390,207.60 and 201,089.40 is: 301,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,138.40 : 390,207.60 = 201,089.40 : x
  2. Step 2: Convert to fraction form
    260,138.40/390,207.60 = 201,089.40/x
  3. Step 3: Cross multiply
    260,138.40x = 390,207.60 × 201,089.40
  4. Step 4: Simplify right side
    260,138.40x = 78,466,612,159.44
  5. Step 5: Solve for x
    x = 78,466,612,159.44/260,138.40
  6. Step 6: Final answer
    x = 301,634.10

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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.