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Finding the Fourth Proportional to 186,449.88, 257,300.22 and 101,566.68

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Solution

The fourth proportional to 186,449.88, 257,300.22 and 101,566.68 is: 140,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,449.88 : 257,300.22 = 101,566.68 : x
  2. Step 2: Convert to fraction form
    186,449.88/257,300.22 = 101,566.68/x
  3. Step 3: Cross multiply
    186,449.88x = 257,300.22 × 101,566.68
  4. Step 4: Simplify right side
    186,449.88x = 26,133,129,108.67
  5. Step 5: Solve for x
    x = 26,133,129,108.67/186,449.88
  6. Step 6: Final answer
    x = 140,161.68

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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.