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Finding the Fourth Proportional to 164,652.48, 227,220.66 and 89,200.98

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Solution

The fourth proportional to 164,652.48, 227,220.66 and 89,200.98 is: 123,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,652.48 : 227,220.66 = 89,200.98 : x
  2. Step 2: Convert to fraction form
    164,652.48/227,220.66 = 89,200.98/x
  3. Step 3: Cross multiply
    164,652.48x = 227,220.66 × 89,200.98
  4. Step 4: Simplify right side
    164,652.48x = 20,268,305,548.25
  5. Step 5: Solve for x
    x = 20,268,305,548.25/164,652.48
  6. Step 6: Final answer
    x = 123,097.48

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1.5x scale

Why These Related Problems?

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