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Finding the Fourth Proportional to 124,161.24, 186,208.68 and 54,024

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Solution

The fourth proportional to 124,161.24, 186,208.68 and 54,024 is: 81,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,161.24 : 186,208.68 = 54,024 : x
  2. Step 2: Convert to fraction form
    124,161.24/186,208.68 = 54,024/x
  3. Step 3: Cross multiply
    124,161.24x = 186,208.68 × 54,024
  4. Step 4: Simplify right side
    124,161.24x = 10,059,737,728.32
  5. Step 5: Solve for x
    x = 10,059,737,728.32/124,161.24
  6. Step 6: Final answer
    x = 81,021.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.