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Finding the Fourth Proportional to 164,535.50, 246,803.24 and 39,876.50

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Solution

The fourth proportional to 164,535.50, 246,803.24 and 39,876.50 is: 59,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535.50 : 246,803.24 = 39,876.50 : x
  2. Step 2: Convert to fraction form
    164,535.50/246,803.24 = 39,876.50/x
  3. Step 3: Cross multiply
    164,535.50x = 246,803.24 × 39,876.50
  4. Step 4: Simplify right side
    164,535.50x = 9,841,648,265.54
  5. Step 5: Solve for x
    x = 9,841,648,265.54/164,535.50
  6. Step 6: Final answer
    x = 59,814.74

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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.