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Finding the Fourth Proportional to 139,697.29, 192,770.98 and 97,347.25

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Solution

The fourth proportional to 139,697.29, 192,770.98 and 97,347.25 is: 134,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,697.29 : 192,770.98 = 97,347.25 : x
  2. Step 2: Convert to fraction form
    139,697.29/192,770.98 = 97,347.25/x
  3. Step 3: Cross multiply
    139,697.29x = 192,770.98 × 97,347.25
  4. Step 4: Simplify right side
    139,697.29x = 18,765,724,782.81
  5. Step 5: Solve for x
    x = 18,765,724,782.81/139,697.29
  6. Step 6: Final answer
    x = 134,331.34

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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.