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Finding the Fourth Proportional to 175,286.40, 262,929.60 and 145,737.60

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Solution

The fourth proportional to 175,286.40, 262,929.60 and 145,737.60 is: 218,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,286.40 : 262,929.60 = 145,737.60 : x
  2. Step 2: Convert to fraction form
    175,286.40/262,929.60 = 145,737.60/x
  3. Step 3: Cross multiply
    175,286.40x = 262,929.60 × 145,737.60
  4. Step 4: Simplify right side
    175,286.40x = 38,318,728,872.96
  5. Step 5: Solve for x
    x = 38,318,728,872.96/175,286.40
  6. Step 6: Final answer
    x = 218,606.40

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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.