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Finding the Fourth Proportional to 253,740.65, 350,173.49 and 140,556.11

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Solution

The fourth proportional to 253,740.65, 350,173.49 and 140,556.11 is: 193,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,740.65 : 350,173.49 = 140,556.11 : x
  2. Step 2: Convert to fraction form
    253,740.65/350,173.49 = 140,556.11/x
  3. Step 3: Cross multiply
    253,740.65x = 350,173.49 × 140,556.11
  4. Step 4: Simplify right side
    253,740.65x = 49,219,021,125.88
  5. Step 5: Solve for x
    x = 49,219,021,125.88/253,740.65
  6. Step 6: Final answer
    x = 193,973.74

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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.