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Finding the Fourth Proportional to 253,741.62, 350,184.78 and 140,574.90

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Solution

The fourth proportional to 253,741.62, 350,184.78 and 140,574.90 is: 194,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,741.62 : 350,184.78 = 140,574.90 : x
  2. Step 2: Convert to fraction form
    253,741.62/350,184.78 = 140,574.90/x
  3. Step 3: Cross multiply
    253,741.62x = 350,184.78 × 140,574.90
  4. Step 4: Simplify right side
    253,741.62x = 49,227,190,430.02
  5. Step 5: Solve for x
    x = 49,227,190,430.02/253,741.62
  6. Step 6: Final answer
    x = 194,005.19

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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.