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Finding the Fourth Proportional to 146,365, 219,548.04 and 35,557

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Solution

The fourth proportional to 146,365, 219,548.04 and 35,557 is: 53,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,365 : 219,548.04 = 35,557 : x
  2. Step 2: Convert to fraction form
    146,365/219,548.04 = 35,557/x
  3. Step 3: Cross multiply
    146,365x = 219,548.04 × 35,557
  4. Step 4: Simplify right side
    146,365x = 7,806,469,658.28
  5. Step 5: Solve for x
    x = 7,806,469,658.28/146,365
  6. Step 6: Final answer
    x = 53,335.63

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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.