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Finding the Fourth Proportional to 291,843.25, 402,743.69 and 157,707.25

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Solution

The fourth proportional to 291,843.25, 402,743.69 and 157,707.25 is: 217,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,843.25 : 402,743.69 = 157,707.25 : x
  2. Step 2: Convert to fraction form
    291,843.25/402,743.69 = 157,707.25/x
  3. Step 3: Cross multiply
    291,843.25x = 402,743.69 × 157,707.25
  4. Step 4: Simplify right side
    291,843.25x = 63,515,599,016.22
  5. Step 5: Solve for x
    x = 63,515,599,016.22/291,843.25
  6. Step 6: Final answer
    x = 217,636.01

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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.