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Finding the Fourth Proportional to 210,723.50, 290,798.70 and 115,229.90

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Solution

The fourth proportional to 210,723.50, 290,798.70 and 115,229.90 is: 159,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,723.50 : 290,798.70 = 115,229.90 : x
  2. Step 2: Convert to fraction form
    210,723.50/290,798.70 = 115,229.90/x
  3. Step 3: Cross multiply
    210,723.50x = 290,798.70 × 115,229.90
  4. Step 4: Simplify right side
    210,723.50x = 33,508,705,121.13
  5. Step 5: Solve for x
    x = 33,508,705,121.13/210,723.50
  6. Step 6: Final answer
    x = 159,017.41

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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.