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Finding the Fourth Proportional to 186,403.24, 257,239.38 and 101,520.22

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Solution

The fourth proportional to 186,403.24, 257,239.38 and 101,520.22 is: 140,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,403.24 : 257,239.38 = 101,520.22 : x
  2. Step 2: Convert to fraction form
    186,403.24/257,239.38 = 101,520.22/x
  3. Step 3: Cross multiply
    186,403.24x = 257,239.38 × 101,520.22
  4. Step 4: Simplify right side
    186,403.24x = 26,114,998,450.26
  5. Step 5: Solve for x
    x = 26,114,998,450.26/186,403.24
  6. Step 6: Final answer
    x = 140,099.49

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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.