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Finding the Fourth Proportional to 155,203.84, 214,186.94 and 87,222.16

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Solution

The fourth proportional to 155,203.84, 214,186.94 and 87,222.16 is: 120,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,203.84 : 214,186.94 = 87,222.16 : x
  2. Step 2: Convert to fraction form
    155,203.84/214,186.94 = 87,222.16/x
  3. Step 3: Cross multiply
    155,203.84x = 214,186.94 × 87,222.16
  4. Step 4: Simplify right side
    155,203.84x = 18,681,847,550.59
  5. Step 5: Solve for x
    x = 18,681,847,550.59/155,203.84
  6. Step 6: Final answer
    x = 120,369.75

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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.