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Finding the Fourth Proportional to 180,211.86, 270,332.19 and 55,552.50

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Solution

The fourth proportional to 180,211.86, 270,332.19 and 55,552.50 is: 83,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,211.86 : 270,332.19 = 55,552.50 : x
  2. Step 2: Convert to fraction form
    180,211.86/270,332.19 = 55,552.50/x
  3. Step 3: Cross multiply
    180,211.86x = 270,332.19 × 55,552.50
  4. Step 4: Simplify right side
    180,211.86x = 15,017,628,984.98
  5. Step 5: Solve for x
    x = 15,017,628,984.98/180,211.86
  6. Step 6: Final answer
    x = 83,333.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.