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Finding the Fourth Proportional to 210,769.89, 290,869.47 and 115,276.59

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Solution

The fourth proportional to 210,769.89, 290,869.47 and 115,276.59 is: 159,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,769.89 : 290,869.47 = 115,276.59 : x
  2. Step 2: Convert to fraction form
    210,769.89/290,869.47 = 115,276.59/x
  3. Step 3: Cross multiply
    210,769.89x = 290,869.47 × 115,276.59
  4. Step 4: Simplify right side
    210,769.89x = 33,530,440,636.71
  5. Step 5: Solve for x
    x = 33,530,440,636.71/210,769.89
  6. Step 6: Final answer
    x = 159,085.53

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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.