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Finding the Fourth Proportional to 102,206.46, 153,310.38 and 39,009.54

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Solution

The fourth proportional to 102,206.46, 153,310.38 and 39,009.54 is: 58,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.46 : 153,310.38 = 39,009.54 : x
  2. Step 2: Convert to fraction form
    102,206.46/153,310.38 = 39,009.54/x
  3. Step 3: Cross multiply
    102,206.46x = 153,310.38 × 39,009.54
  4. Step 4: Simplify right side
    102,206.46x = 5,980,567,401.03
  5. Step 5: Solve for x
    x = 5,980,567,401.03/102,206.46
  6. Step 6: Final answer
    x = 58,514.57

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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.