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Finding the Fourth Proportional to 165,062.28, 227,840.16 and 97,076.28

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Solution

The fourth proportional to 165,062.28, 227,840.16 and 97,076.28 is: 133,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,062.28 : 227,840.16 = 97,076.28 : x
  2. Step 2: Convert to fraction form
    165,062.28/227,840.16 = 97,076.28/x
  3. Step 3: Cross multiply
    165,062.28x = 227,840.16 × 97,076.28
  4. Step 4: Simplify right side
    165,062.28x = 22,117,875,167.40
  5. Step 5: Solve for x
    x = 22,117,875,167.40/165,062.28
  6. Step 6: Final answer
    x = 133,997.15

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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.