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Finding the Fourth Proportional to 130,714, 196,100.16 and 47,608

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Solution

The fourth proportional to 130,714, 196,100.16 and 47,608 is: 71,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714 : 196,100.16 = 47,608 : x
  2. Step 2: Convert to fraction form
    130,714/196,100.16 = 47,608/x
  3. Step 3: Cross multiply
    130,714x = 196,100.16 × 47,608
  4. Step 4: Simplify right side
    130,714x = 9,335,936,417.28
  5. Step 5: Solve for x
    x = 9,335,936,417.28/130,714
  6. Step 6: Final answer
    x = 71,422.62

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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.