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Finding the Fourth Proportional to 210,232.08, 290,121.30 and 114,741

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Solution

The fourth proportional to 210,232.08, 290,121.30 and 114,741 is: 158,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232.08 : 290,121.30 = 114,741 : x
  2. Step 2: Convert to fraction form
    210,232.08/290,121.30 = 114,741/x
  3. Step 3: Cross multiply
    210,232.08x = 290,121.30 × 114,741
  4. Step 4: Simplify right side
    210,232.08x = 33,288,808,083.30
  5. Step 5: Solve for x
    x = 33,288,808,083.30/210,232.08
  6. Step 6: Final answer
    x = 158,343.14

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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.