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Finding the Fourth Proportional to 186,622.82, 257,538.17 and 101,740.49

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Solution

The fourth proportional to 186,622.82, 257,538.17 and 101,740.49 is: 140,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,622.82 : 257,538.17 = 101,740.49 : x
  2. Step 2: Convert to fraction form
    186,622.82/257,538.17 = 101,740.49/x
  3. Step 3: Cross multiply
    186,622.82x = 257,538.17 × 101,740.49
  4. Step 4: Simplify right side
    186,622.82x = 26,202,057,813.11
  5. Step 5: Solve for x
    x = 26,202,057,813.11/186,622.82
  6. Step 6: Final answer
    x = 140,401.15

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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.