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Finding the Fourth Proportional to 147,968, 204,195.84 and 95,068.16

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Solution

The fourth proportional to 147,968, 204,195.84 and 95,068.16 is: 131,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968 : 204,195.84 = 95,068.16 : x
  2. Step 2: Convert to fraction form
    147,968/204,195.84 = 95,068.16/x
  3. Step 3: Cross multiply
    147,968x = 204,195.84 × 95,068.16
  4. Step 4: Simplify right side
    147,968x = 19,412,522,788.45
  5. Step 5: Solve for x
    x = 19,412,522,788.45/147,968
  6. Step 6: Final answer
    x = 131,194.06

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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.