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Finding the Fourth Proportional to 147,900, 204,102 and 95,000.16

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Solution

The fourth proportional to 147,900, 204,102 and 95,000.16 is: 131,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,900 : 204,102 = 95,000.16 : x
  2. Step 2: Convert to fraction form
    147,900/204,102 = 95,000.16/x
  3. Step 3: Cross multiply
    147,900x = 204,102 × 95,000.16
  4. Step 4: Simplify right side
    147,900x = 19,389,722,656.32
  5. Step 5: Solve for x
    x = 19,389,722,656.32/147,900
  6. Step 6: Final answer
    x = 131,100.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.