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Finding the Fourth Proportional to 157,362.25, 217,159.93 and 85,742.28

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Solution

The fourth proportional to 157,362.25, 217,159.93 and 85,742.28 is: 118,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.25 : 217,159.93 = 85,742.28 : x
  2. Step 2: Convert to fraction form
    157,362.25/217,159.93 = 85,742.28/x
  3. Step 3: Cross multiply
    157,362.25x = 217,159.93 × 85,742.28
  4. Step 4: Simplify right side
    157,362.25x = 18,619,787,630.02
  5. Step 5: Solve for x
    x = 18,619,787,630.02/157,362.25
  6. Step 6: Final answer
    x = 118,324.36

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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.