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Finding the Fourth Proportional to 165,126.48, 227,894 and 98,058.48

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Solution

The fourth proportional to 165,126.48, 227,894 and 98,058.48 is: 135,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,126.48 : 227,894 = 98,058.48 : x
  2. Step 2: Convert to fraction form
    165,126.48/227,894 = 98,058.48/x
  3. Step 3: Cross multiply
    165,126.48x = 227,894 × 98,058.48
  4. Step 4: Simplify right side
    165,126.48x = 22,346,939,241.12
  5. Step 5: Solve for x
    x = 22,346,939,241.12/165,126.48
  6. Step 6: Final answer
    x = 135,332.26

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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.