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Finding the Fourth Proportional to 151,290.30, 208,772.36 and 83,294.37

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Solution

The fourth proportional to 151,290.30, 208,772.36 and 83,294.37 is: 114,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,290.30 : 208,772.36 = 83,294.37 : x
  2. Step 2: Convert to fraction form
    151,290.30/208,772.36 = 83,294.37/x
  3. Step 3: Cross multiply
    151,290.30x = 208,772.36 × 83,294.37
  4. Step 4: Simplify right side
    151,290.30x = 17,389,561,783.14
  5. Step 5: Solve for x
    x = 17,389,561,783.14/151,290.30
  6. Step 6: Final answer
    x = 114,941.68

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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.