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Finding the Fourth Proportional to 164,890, 227,548.22 and 93,268.48

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Solution

The fourth proportional to 164,890, 227,548.22 and 93,268.48 is: 128,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,890 : 227,548.22 = 93,268.48 : x
  2. Step 2: Convert to fraction form
    164,890/227,548.22 = 93,268.48/x
  3. Step 3: Cross multiply
    164,890x = 227,548.22 × 93,268.48
  4. Step 4: Simplify right side
    164,890x = 21,223,076,606.11
  5. Step 5: Solve for x
    x = 21,223,076,606.11/164,890
  6. Step 6: Final answer
    x = 128,710.51

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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.