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Finding the Fourth Proportional to 151,274.82, 208,757.52 and 83,290.40

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Solution

The fourth proportional to 151,274.82, 208,757.52 and 83,290.40 is: 114,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,274.82 : 208,757.52 = 83,290.40 : x
  2. Step 2: Convert to fraction form
    151,274.82/208,757.52 = 83,290.40/x
  3. Step 3: Cross multiply
    151,274.82x = 208,757.52 × 83,290.40
  4. Step 4: Simplify right side
    151,274.82x = 17,387,497,343.81
  5. Step 5: Solve for x
    x = 17,387,497,343.81/151,274.82
  6. Step 6: Final answer
    x = 114,939.80

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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.