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Finding the Fourth Proportional to 147,495.96, 203,542.52 and 83,829.56

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Solution

The fourth proportional to 147,495.96, 203,542.52 and 83,829.56 is: 115,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,495.96 : 203,542.52 = 83,829.56 : x
  2. Step 2: Convert to fraction form
    147,495.96/203,542.52 = 83,829.56/x
  3. Step 3: Cross multiply
    147,495.96x = 203,542.52 × 83,829.56
  4. Step 4: Simplify right side
    147,495.96x = 17,062,878,456.03
  5. Step 5: Solve for x
    x = 17,062,878,456.03/147,495.96
  6. Step 6: Final answer
    x = 115,683.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.