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Finding the Fourth Proportional to 210,473.68, 290,457.96 and 114,986.56

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Solution

The fourth proportional to 210,473.68, 290,457.96 and 114,986.56 is: 158,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,473.68 : 290,457.96 = 114,986.56 : x
  2. Step 2: Convert to fraction form
    210,473.68/290,457.96 = 114,986.56/x
  3. Step 3: Cross multiply
    210,473.68x = 290,457.96 × 114,986.56
  4. Step 4: Simplify right side
    210,473.68x = 33,398,761,645.02
  5. Step 5: Solve for x
    x = 33,398,761,645.02/210,473.68
  6. Step 6: Final answer
    x = 158,683.79

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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.