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Finding the Fourth Proportional to 210,201.72, 290,084.54 and 114,714.56

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Solution

The fourth proportional to 210,201.72, 290,084.54 and 114,714.56 is: 158,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,201.72 : 290,084.54 = 114,714.56 : x
  2. Step 2: Convert to fraction form
    210,201.72/290,084.54 = 114,714.56/x
  3. Step 3: Cross multiply
    210,201.72x = 290,084.54 × 114,714.56
  4. Step 4: Simplify right side
    210,201.72x = 33,276,918,344.91
  5. Step 5: Solve for x
    x = 33,276,918,344.91/210,201.72
  6. Step 6: Final answer
    x = 158,309.45

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