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Finding the Fourth Proportional to 182,420.92, 251,782.86 and 106,993.72

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Solution

The fourth proportional to 182,420.92, 251,782.86 and 106,993.72 is: 147,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,420.92 : 251,782.86 = 106,993.72 : x
  2. Step 2: Convert to fraction form
    182,420.92/251,782.86 = 106,993.72/x
  3. Step 3: Cross multiply
    182,420.92x = 251,782.86 × 106,993.72
  4. Step 4: Simplify right side
    182,420.92x = 26,939,184,823.64
  5. Step 5: Solve for x
    x = 26,939,184,823.64/182,420.92
  6. Step 6: Final answer
    x = 147,675.96

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1.5x scale

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.