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Finding the Fourth Proportional to 147,817.49, 203,988.32 and 84,155.28

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Solution

The fourth proportional to 147,817.49, 203,988.32 and 84,155.28 is: 116,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,817.49 : 203,988.32 = 84,155.28 : x
  2. Step 2: Convert to fraction form
    147,817.49/203,988.32 = 84,155.28/x
  3. Step 3: Cross multiply
    147,817.49x = 203,988.32 × 84,155.28
  4. Step 4: Simplify right side
    147,817.49x = 17,166,693,765.55
  5. Step 5: Solve for x
    x = 17,166,693,765.55/147,817.49
  6. Step 6: Final answer
    x = 116,134.39

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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.