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Finding the Fourth Proportional to 96,652.60, 144,806.10 and 82,828.60

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Solution

The fourth proportional to 96,652.60, 144,806.10 and 82,828.60 is: 124,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,652.60 : 144,806.10 = 82,828.60 : x
  2. Step 2: Convert to fraction form
    96,652.60/144,806.10 = 82,828.60/x
  3. Step 3: Cross multiply
    96,652.60x = 144,806.10 × 82,828.60
  4. Step 4: Simplify right side
    96,652.60x = 11,994,086,534.46
  5. Step 5: Solve for x
    x = 11,994,086,534.46/96,652.60
  6. Step 6: Final answer
    x = 124,094.82

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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.