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Finding the Fourth Proportional to 181,502.80, 271,865.40 and 146,510.80

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Solution

The fourth proportional to 181,502.80, 271,865.40 and 146,510.80 is: 219,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,502.80 : 271,865.40 = 146,510.80 : x
  2. Step 2: Convert to fraction form
    181,502.80/271,865.40 = 146,510.80/x
  3. Step 3: Cross multiply
    181,502.80x = 271,865.40 × 146,510.80
  4. Step 4: Simplify right side
    181,502.80x = 39,831,217,246.32
  5. Step 5: Solve for x
    x = 39,831,217,246.32/181,502.80
  6. Step 6: Final answer
    x = 219,452.36

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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.