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Finding the Fourth Proportional to 101,073.14, 139,471.53 and 97,676

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Solution

The fourth proportional to 101,073.14, 139,471.53 and 97,676 is: 134,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,073.14 : 139,471.53 = 97,676 : x
  2. Step 2: Convert to fraction form
    101,073.14/139,471.53 = 97,676/x
  3. Step 3: Cross multiply
    101,073.14x = 139,471.53 × 97,676
  4. Step 4: Simplify right side
    101,073.14x = 13,623,021,164.28
  5. Step 5: Solve for x
    x = 13,623,021,164.28/101,073.14
  6. Step 6: Final answer
    x = 134,783.79

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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.