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Finding the Fourth Proportional to 102,507.98, 153,627.78 and 55,067.63

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Solution

The fourth proportional to 102,507.98, 153,627.78 and 55,067.63 is: 82,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.98 : 153,627.78 = 55,067.63 : x
  2. Step 2: Convert to fraction form
    102,507.98/153,627.78 = 55,067.63/x
  3. Step 3: Cross multiply
    102,507.98x = 153,627.78 × 55,067.63
  4. Step 4: Simplify right side
    102,507.98x = 8,459,917,185.13
  5. Step 5: Solve for x
    x = 8,459,917,185.13/102,507.98
  6. Step 6: Final answer
    x = 82,529.35

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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.