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Finding the Fourth Proportional to 123,915, 185,872.56 and 40,815.48

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Solution

The fourth proportional to 123,915, 185,872.56 and 40,815.48 is: 61,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,915 : 185,872.56 = 40,815.48 : x
  2. Step 2: Convert to fraction form
    123,915/185,872.56 = 40,815.48/x
  3. Step 3: Cross multiply
    123,915x = 185,872.56 × 40,815.48
  4. Step 4: Simplify right side
    123,915x = 7,586,477,755.23
  5. Step 5: Solve for x
    x = 7,586,477,755.23/123,915
  6. Step 6: Final answer
    x = 61,223.24

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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.