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Finding the Fourth Proportional to 198,525.84, 273,967.48 and 107,881.84

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Solution

The fourth proportional to 198,525.84, 273,967.48 and 107,881.84 is: 148,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,525.84 : 273,967.48 = 107,881.84 : x
  2. Step 2: Convert to fraction form
    198,525.84/273,967.48 = 107,881.84/x
  3. Step 3: Cross multiply
    198,525.84x = 273,967.48 × 107,881.84
  4. Step 4: Simplify right side
    198,525.84x = 29,556,115,842.56
  5. Step 5: Solve for x
    x = 29,556,115,842.56/198,525.84
  6. Step 6: Final answer
    x = 148,877.93

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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.