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Finding the Fourth Proportional to 151,496.81, 209,066.26 and 83,512.32

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Solution

The fourth proportional to 151,496.81, 209,066.26 and 83,512.32 is: 115,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,496.81 : 209,066.26 = 83,512.32 : x
  2. Step 2: Convert to fraction form
    151,496.81/209,066.26 = 83,512.32/x
  3. Step 3: Cross multiply
    151,496.81x = 209,066.26 × 83,512.32
  4. Step 4: Simplify right side
    151,496.81x = 17,459,609,138.13
  5. Step 5: Solve for x
    x = 17,459,609,138.13/151,496.81
  6. Step 6: Final answer
    x = 115,247.37

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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.