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Finding the Fourth Proportional to 210,891.06, 291,020.37 and 129,194.34

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Solution

The fourth proportional to 210,891.06, 291,020.37 and 129,194.34 is: 178,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,891.06 : 291,020.37 = 129,194.34 : x
  2. Step 2: Convert to fraction form
    210,891.06/291,020.37 = 129,194.34/x
  3. Step 3: Cross multiply
    210,891.06x = 291,020.37 × 129,194.34
  4. Step 4: Simplify right side
    210,891.06x = 37,598,184,628.71
  5. Step 5: Solve for x
    x = 37,598,184,628.71/210,891.06
  6. Step 6: Final answer
    x = 178,282.50

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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.