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Finding the Fourth Proportional to 181,529.80, 271,905.90 and 146,537.80

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Solution

The fourth proportional to 181,529.80, 271,905.90 and 146,537.80 is: 219,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,529.80 : 271,905.90 = 146,537.80 : x
  2. Step 2: Convert to fraction form
    181,529.80/271,905.90 = 146,537.80/x
  3. Step 3: Cross multiply
    181,529.80x = 271,905.90 × 146,537.80
  4. Step 4: Simplify right side
    181,529.80x = 39,844,492,393.02
  5. Step 5: Solve for x
    x = 39,844,492,393.02/181,529.80
  6. Step 6: Final answer
    x = 219,492.85

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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.