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Finding the Fourth Proportional to 186,770.11, 257,742.21 and 101,886.56

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Solution

The fourth proportional to 186,770.11, 257,742.21 and 101,886.56 is: 140,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770.11 : 257,742.21 = 101,886.56 : x
  2. Step 2: Convert to fraction form
    186,770.11/257,742.21 = 101,886.56/x
  3. Step 3: Cross multiply
    186,770.11x = 257,742.21 × 101,886.56
  4. Step 4: Simplify right side
    186,770.11x = 26,260,467,143.70
  5. Step 5: Solve for x
    x = 26,260,467,143.70/186,770.11
  6. Step 6: Final answer
    x = 140,603.16

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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.