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Finding the Fourth Proportional to 260,143.40, 390,215.10 and 135,468.20

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Solution

The fourth proportional to 260,143.40, 390,215.10 and 135,468.20 is: 203,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,143.40 : 390,215.10 = 135,468.20 : x
  2. Step 2: Convert to fraction form
    260,143.40/390,215.10 = 135,468.20/x
  3. Step 3: Cross multiply
    260,143.40x = 390,215.10 × 135,468.20
  4. Step 4: Simplify right side
    260,143.40x = 52,861,737,209.82
  5. Step 5: Solve for x
    x = 52,861,737,209.82/260,143.40
  6. Step 6: Final answer
    x = 203,202.30

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1.5x scale

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.