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Finding the Fourth Proportional to 102,625.92, 153,795.24 and 77,645.52

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Solution

The fourth proportional to 102,625.92, 153,795.24 and 77,645.52 is: 116,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,625.92 : 153,795.24 = 77,645.52 : x
  2. Step 2: Convert to fraction form
    102,625.92/153,795.24 = 77,645.52/x
  3. Step 3: Cross multiply
    102,625.92x = 153,795.24 × 77,645.52
  4. Step 4: Simplify right side
    102,625.92x = 11,941,511,383.32
  5. Step 5: Solve for x
    x = 11,941,511,383.32/102,625.92
  6. Step 6: Final answer
    x = 116,359.60

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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.