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Finding the Fourth Proportional to 195,074.66, 292,595.36 and 76,745.66

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Solution

The fourth proportional to 195,074.66, 292,595.36 and 76,745.66 is: 115,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,074.66 : 292,595.36 = 76,745.66 : x
  2. Step 2: Convert to fraction form
    195,074.66/292,595.36 = 76,745.66/x
  3. Step 3: Cross multiply
    195,074.66x = 292,595.36 × 76,745.66
  4. Step 4: Simplify right side
    195,074.66x = 22,455,424,016.14
  5. Step 5: Solve for x
    x = 22,455,424,016.14/195,074.66
  6. Step 6: Final answer
    x = 115,111.95

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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.