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Finding the Fourth Proportional to 164,742.50, 227,345.46 and 89,291

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Solution

The fourth proportional to 164,742.50, 227,345.46 and 89,291 is: 123,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,742.50 : 227,345.46 = 89,291 : x
  2. Step 2: Convert to fraction form
    164,742.50/227,345.46 = 89,291/x
  3. Step 3: Cross multiply
    164,742.50x = 227,345.46 × 89,291
  4. Step 4: Simplify right side
    164,742.50x = 20,299,903,468.86
  5. Step 5: Solve for x
    x = 20,299,903,468.86/164,742.50
  6. Step 6: Final answer
    x = 123,222.02

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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.