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Finding the Fourth Proportional to 181,533.80, 271,911.90 and 146,541.80

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Solution

The fourth proportional to 181,533.80, 271,911.90 and 146,541.80 is: 219,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,533.80 : 271,911.90 = 146,541.80 : x
  2. Step 2: Convert to fraction form
    181,533.80/271,911.90 = 146,541.80/x
  3. Step 3: Cross multiply
    181,533.80x = 271,911.90 × 146,541.80
  4. Step 4: Simplify right side
    181,533.80x = 39,846,459,267.42
  5. Step 5: Solve for x
    x = 39,846,459,267.42/181,533.80
  6. Step 6: Final answer
    x = 219,498.84

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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.