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Finding the Fourth Proportional to 181,536.80, 271,916.40 and 146,544.80

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Solution

The fourth proportional to 181,536.80, 271,916.40 and 146,544.80 is: 219,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,536.80 : 271,916.40 = 146,544.80 : x
  2. Step 2: Convert to fraction form
    181,536.80/271,916.40 = 146,544.80/x
  3. Step 3: Cross multiply
    181,536.80x = 271,916.40 × 146,544.80
  4. Step 4: Simplify right side
    181,536.80x = 39,847,934,454.72
  5. Step 5: Solve for x
    x = 39,847,934,454.72/181,536.80
  6. Step 6: Final answer
    x = 219,503.34

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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.