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Finding the Fourth Proportional to 198,303.98, 273,659.82 and 107,659.94

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Solution

The fourth proportional to 198,303.98, 273,659.82 and 107,659.94 is: 148,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,303.98 : 273,659.82 = 107,659.94 : x
  2. Step 2: Convert to fraction form
    198,303.98/273,659.82 = 107,659.94/x
  3. Step 3: Cross multiply
    198,303.98x = 273,659.82 × 107,659.94
  4. Step 4: Simplify right side
    198,303.98x = 29,462,199,801.61
  5. Step 5: Solve for x
    x = 29,462,199,801.61/198,303.98
  6. Step 6: Final answer
    x = 148,570.90

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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.