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Finding the Fourth Proportional to 210,807.41, 290,921.22 and 115,314.21

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Solution

The fourth proportional to 210,807.41, 290,921.22 and 115,314.21 is: 159,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,807.41 : 290,921.22 = 115,314.21 : x
  2. Step 2: Convert to fraction form
    210,807.41/290,921.22 = 115,314.21/x
  3. Step 3: Cross multiply
    210,807.41x = 290,921.22 × 115,314.21
  4. Step 4: Simplify right side
    210,807.41x = 33,547,350,656.54
  5. Step 5: Solve for x
    x = 33,547,350,656.54/210,807.41
  6. Step 6: Final answer
    x = 159,137.44

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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.