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Finding the Fourth Proportional to 146,522.78, 219,784.20 and 35,714.78

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Solution

The fourth proportional to 146,522.78, 219,784.20 and 35,714.78 is: 53,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,522.78 : 219,784.20 = 35,714.78 : x
  2. Step 2: Convert to fraction form
    146,522.78/219,784.20 = 35,714.78/x
  3. Step 3: Cross multiply
    146,522.78x = 219,784.20 × 35,714.78
  4. Step 4: Simplify right side
    146,522.78x = 7,849,544,350.48
  5. Step 5: Solve for x
    x = 7,849,544,350.48/146,522.78
  6. Step 6: Final answer
    x = 53,572.18

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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.