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Finding the Fourth Proportional to 101,598.86, 152,342.74 and 80,673.32

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Solution

The fourth proportional to 101,598.86, 152,342.74 and 80,673.32 is: 120,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598.86 : 152,342.74 = 80,673.32 : x
  2. Step 2: Convert to fraction form
    101,598.86/152,342.74 = 80,673.32/x
  3. Step 3: Cross multiply
    101,598.86x = 152,342.74 × 80,673.32
  4. Step 4: Simplify right side
    101,598.86x = 12,289,994,210.33
  5. Step 5: Solve for x
    x = 12,289,994,210.33/101,598.86
  6. Step 6: Final answer
    x = 120,965.87

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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.