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Finding the Fourth Proportional to 206,427.60, 309,349.80 and 144,025.20

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Solution

The fourth proportional to 206,427.60, 309,349.80 and 144,025.20 is: 215,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427.60 : 309,349.80 = 144,025.20 : x
  2. Step 2: Convert to fraction form
    206,427.60/309,349.80 = 144,025.20/x
  3. Step 3: Cross multiply
    206,427.60x = 309,349.80 × 144,025.20
  4. Step 4: Simplify right side
    206,427.60x = 44,554,166,814.96
  5. Step 5: Solve for x
    x = 44,554,166,814.96/206,427.60
  6. Step 6: Final answer
    x = 215,834.35

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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.