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Finding the Fourth Proportional to 164,655.31, 227,224.55 and 89,203.81

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Solution

The fourth proportional to 164,655.31, 227,224.55 and 89,203.81 is: 123,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,655.31 : 227,224.55 = 89,203.81 : x
  2. Step 2: Convert to fraction form
    164,655.31/227,224.55 = 89,203.81/x
  3. Step 3: Cross multiply
    164,655.31x = 227,224.55 × 89,203.81
  4. Step 4: Simplify right side
    164,655.31x = 20,269,294,449.41
  5. Step 5: Solve for x
    x = 20,269,294,449.41/164,655.31
  6. Step 6: Final answer
    x = 123,101.38

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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.