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Finding the Fourth Proportional to 210,357.49, 290,293.32 and 114,864.27

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Solution

The fourth proportional to 210,357.49, 290,293.32 and 114,864.27 is: 158,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,357.49 : 290,293.32 = 114,864.27 : x
  2. Step 2: Convert to fraction form
    210,357.49/290,293.32 = 114,864.27/x
  3. Step 3: Cross multiply
    210,357.49x = 290,293.32 × 114,864.27
  4. Step 4: Simplify right side
    210,357.49x = 33,344,330,287.68
  5. Step 5: Solve for x
    x = 33,344,330,287.68/210,357.49
  6. Step 6: Final answer
    x = 158,512.68

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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.