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Finding the Fourth Proportional to 102,647.70, 153,752.85 and 82,964.70

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Solution

The fourth proportional to 102,647.70, 153,752.85 and 82,964.70 is: 124,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.70 : 153,752.85 = 82,964.70 : x
  2. Step 2: Convert to fraction form
    102,647.70/153,752.85 = 82,964.70/x
  3. Step 3: Cross multiply
    102,647.70x = 153,752.85 × 82,964.70
  4. Step 4: Simplify right side
    102,647.70x = 12,756,059,074.40
  5. Step 5: Solve for x
    x = 12,756,059,074.40/102,647.70
  6. Step 6: Final answer
    x = 124,270.29

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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.