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Finding the Fourth Proportional to 114,987.40, 172,481.14 and 51,733.64

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Solution

The fourth proportional to 114,987.40, 172,481.14 and 51,733.64 is: 77,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,987.40 : 172,481.14 = 51,733.64 : x
  2. Step 2: Convert to fraction form
    114,987.40/172,481.14 = 51,733.64/x
  3. Step 3: Cross multiply
    114,987.40x = 172,481.14 × 51,733.64
  4. Step 4: Simplify right side
    114,987.40x = 8,923,077,203.55
  5. Step 5: Solve for x
    x = 8,923,077,203.55/114,987.40
  6. Step 6: Final answer
    x = 77,600.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.