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Finding the Fourth Proportional to 251,474.82, 377,255.91 and 101,709.06

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Solution

The fourth proportional to 251,474.82, 377,255.91 and 101,709.06 is: 152,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,474.82 : 377,255.91 = 101,709.06 : x
  2. Step 2: Convert to fraction form
    251,474.82/377,255.91 = 101,709.06/x
  3. Step 3: Cross multiply
    251,474.82x = 377,255.91 × 101,709.06
  4. Step 4: Simplify right side
    251,474.82x = 38,370,343,985.54
  5. Step 5: Solve for x
    x = 38,370,343,985.54/251,474.82
  6. Step 6: Final answer
    x = 152,581.26

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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.