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Finding the Fourth Proportional to 186,777.48, 257,747.82 and 101,894.52

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Solution

The fourth proportional to 186,777.48, 257,747.82 and 101,894.52 is: 140,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,777.48 : 257,747.82 = 101,894.52 : x
  2. Step 2: Convert to fraction form
    186,777.48/257,747.82 = 101,894.52/x
  3. Step 3: Cross multiply
    186,777.48x = 257,747.82 × 101,894.52
  4. Step 4: Simplify right side
    186,777.48x = 26,263,090,399.95
  5. Step 5: Solve for x
    x = 26,263,090,399.95/186,777.48
  6. Step 6: Final answer
    x = 140,611.65

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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.