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Finding the Fourth Proportional to 210,201.22, 290,083.80 and 114,714.06

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Solution

The fourth proportional to 210,201.22, 290,083.80 and 114,714.06 is: 158,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,201.22 : 290,083.80 = 114,714.06 : x
  2. Step 2: Convert to fraction form
    210,201.22/290,083.80 = 114,714.06/x
  3. Step 3: Cross multiply
    210,201.22x = 290,083.80 × 114,714.06
  4. Step 4: Simplify right side
    210,201.22x = 33,276,690,438.23
  5. Step 5: Solve for x
    x = 33,276,690,438.23/210,201.22
  6. Step 6: Final answer
    x = 158,308.74

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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.