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Finding the Fourth Proportional to 155,100.22, 213,983.79 and 101,416.66

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Solution

The fourth proportional to 155,100.22, 213,983.79 and 101,416.66 is: 139,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,100.22 : 213,983.79 = 101,416.66 : x
  2. Step 2: Convert to fraction form
    155,100.22/213,983.79 = 101,416.66/x
  3. Step 3: Cross multiply
    155,100.22x = 213,983.79 × 101,416.66
  4. Step 4: Simplify right side
    155,100.22x = 21,701,520,206.02
  5. Step 5: Solve for x
    x = 21,701,520,206.02/155,100.22
  6. Step 6: Final answer
    x = 139,919.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.