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Finding the Fourth Proportional to 102,206, 153,310.38 and 32,085.32

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Solution

The fourth proportional to 102,206, 153,310.38 and 32,085.32 is: 48,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206 : 153,310.38 = 32,085.32 : x
  2. Step 2: Convert to fraction form
    102,206/153,310.38 = 32,085.32/x
  3. Step 3: Cross multiply
    102,206x = 153,310.38 × 32,085.32
  4. Step 4: Simplify right side
    102,206x = 4,919,012,601.62
  5. Step 5: Solve for x
    x = 4,919,012,601.62/102,206
  6. Step 6: Final answer
    x = 48,128.41

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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.