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Finding the Fourth Proportional to 96,654.60, 144,809.10 and 82,830.60

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Solution

The fourth proportional to 96,654.60, 144,809.10 and 82,830.60 is: 124,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,654.60 : 144,809.10 = 82,830.60 : x
  2. Step 2: Convert to fraction form
    96,654.60/144,809.10 = 82,830.60/x
  3. Step 3: Cross multiply
    96,654.60x = 144,809.10 × 82,830.60
  4. Step 4: Simplify right side
    96,654.60x = 11,994,624,638.46
  5. Step 5: Solve for x
    x = 11,994,624,638.46/96,654.60
  6. Step 6: Final answer
    x = 124,097.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.