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Finding the Fourth Proportional to 147,560.33, 203,633.28 and 83,902.02

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Solution

The fourth proportional to 147,560.33, 203,633.28 and 83,902.02 is: 115,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,560.33 : 203,633.28 = 83,902.02 : x
  2. Step 2: Convert to fraction form
    147,560.33/203,633.28 = 83,902.02/x
  3. Step 3: Cross multiply
    147,560.33x = 203,633.28 × 83,902.02
  4. Step 4: Simplify right side
    147,560.33x = 17,085,243,531.23
  5. Step 5: Solve for x
    x = 17,085,243,531.23/147,560.33
  6. Step 6: Final answer
    x = 115,784.80

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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.