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Finding the Fourth Proportional to 186,773.16, 257,745.75 and 106,200.66

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Solution

The fourth proportional to 186,773.16, 257,745.75 and 106,200.66 is: 146,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,773.16 : 257,745.75 = 106,200.66 : x
  2. Step 2: Convert to fraction form
    186,773.16/257,745.75 = 106,200.66/x
  3. Step 3: Cross multiply
    186,773.16x = 257,745.75 × 106,200.66
  4. Step 4: Simplify right side
    186,773.16x = 27,372,768,762.20
  5. Step 5: Solve for x
    x = 27,372,768,762.20/186,773.16
  6. Step 6: Final answer
    x = 146,556.22

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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.