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Finding the Fourth Proportional to 198,300.98, 273,655.68 and 107,656.94

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Solution

The fourth proportional to 198,300.98, 273,655.68 and 107,656.94 is: 148,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,300.98 : 273,655.68 = 107,656.94 : x
  2. Step 2: Convert to fraction form
    198,300.98/273,655.68 = 107,656.94/x
  3. Step 3: Cross multiply
    198,300.98x = 273,655.68 × 107,656.94
  4. Step 4: Simplify right side
    198,300.98x = 29,460,933,122.42
  5. Step 5: Solve for x
    x = 29,460,933,122.42/198,300.98
  6. Step 6: Final answer
    x = 148,566.76

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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.