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Finding the Fourth Proportional to 102,824.70, 154,237.05 and 61,352.70

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Solution

The fourth proportional to 102,824.70, 154,237.05 and 61,352.70 is: 92,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,824.70 : 154,237.05 = 61,352.70 : x
  2. Step 2: Convert to fraction form
    102,824.70/154,237.05 = 61,352.70/x
  3. Step 3: Cross multiply
    102,824.70x = 154,237.05 × 61,352.70
  4. Step 4: Simplify right side
    102,824.70x = 9,462,859,457.54
  5. Step 5: Solve for x
    x = 9,462,859,457.54/102,824.70
  6. Step 6: Final answer
    x = 92,029.05

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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.