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Finding the Fourth Proportional to 253,708.05, 380,157.26 and 185,925.96

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Solution

The fourth proportional to 253,708.05, 380,157.26 and 185,925.96 is: 278,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,708.05 : 380,157.26 = 185,925.96 : x
  2. Step 2: Convert to fraction form
    253,708.05/380,157.26 = 185,925.96/x
  3. Step 3: Cross multiply
    253,708.05x = 380,157.26 × 185,925.96
  4. Step 4: Simplify right side
    253,708.05x = 70,681,102,040.56
  5. Step 5: Solve for x
    x = 70,681,102,040.56/253,708.05
  6. Step 6: Final answer
    x = 278,592.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.