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Finding the Fourth Proportional to 186,638.72, 257,564.22 and 101,757.20

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Solution

The fourth proportional to 186,638.72, 257,564.22 and 101,757.20 is: 140,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,638.72 : 257,564.22 = 101,757.20 : x
  2. Step 2: Convert to fraction form
    186,638.72/257,564.22 = 101,757.20/x
  3. Step 3: Cross multiply
    186,638.72x = 257,564.22 × 101,757.20
  4. Step 4: Simplify right side
    186,638.72x = 26,209,013,847.38
  5. Step 5: Solve for x
    x = 26,209,013,847.38/186,638.72
  6. Step 6: Final answer
    x = 140,426.46

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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.