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Finding the Fourth Proportional to 99,232.50, 136,942.30 and 53,911.30

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Solution

The fourth proportional to 99,232.50, 136,942.30 and 53,911.30 is: 74,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,232.50 : 136,942.30 = 53,911.30 : x
  2. Step 2: Convert to fraction form
    99,232.50/136,942.30 = 53,911.30/x
  3. Step 3: Cross multiply
    99,232.50x = 136,942.30 × 53,911.30
  4. Step 4: Simplify right side
    99,232.50x = 7,382,737,417.99
  5. Step 5: Solve for x
    x = 7,382,737,417.99/99,232.50
  6. Step 6: Final answer
    x = 74,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.