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Finding the Fourth Proportional to 146,032.76, 218,622.02 and 132,025

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Solution

The fourth proportional to 146,032.76, 218,622.02 and 132,025 is: 197,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,032.76 : 218,622.02 = 132,025 : x
  2. Step 2: Convert to fraction form
    146,032.76/218,622.02 = 132,025/x
  3. Step 3: Cross multiply
    146,032.76x = 218,622.02 × 132,025
  4. Step 4: Simplify right side
    146,032.76x = 28,863,572,190.50
  5. Step 5: Solve for x
    x = 28,863,572,190.50/146,032.76
  6. Step 6: Final answer
    x = 197,651.35

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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.