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Finding the Fourth Proportional to 210,727.68, 290,805.14 and 115,234.25

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Solution

The fourth proportional to 210,727.68, 290,805.14 and 115,234.25 is: 159,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,727.68 : 290,805.14 = 115,234.25 : x
  2. Step 2: Convert to fraction form
    210,727.68/290,805.14 = 115,234.25/x
  3. Step 3: Cross multiply
    210,727.68x = 290,805.14 × 115,234.25
  4. Step 4: Simplify right side
    210,727.68x = 33,510,710,389.91
  5. Step 5: Solve for x
    x = 33,510,710,389.91/210,727.68
  6. Step 6: Final answer
    x = 159,023.77

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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.