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Finding the Fourth Proportional to 186,684.84, 257,631.30 and 101,806.56

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Solution

The fourth proportional to 186,684.84, 257,631.30 and 101,806.56 is: 140,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684.84 : 257,631.30 = 101,806.56 : x
  2. Step 2: Convert to fraction form
    186,684.84/257,631.30 = 101,806.56/x
  3. Step 3: Cross multiply
    186,684.84x = 257,631.30 × 101,806.56
  4. Step 4: Simplify right side
    186,684.84x = 26,228,556,401.33
  5. Step 5: Solve for x
    x = 26,228,556,401.33/186,684.84
  6. Step 6: Final answer
    x = 140,496.45

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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.