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Finding the Fourth Proportional to 164,102.55, 246,123.45 and 45,749.40

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Solution

The fourth proportional to 164,102.55, 246,123.45 and 45,749.40 is: 68,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102.55 : 246,123.45 = 45,749.40 : x
  2. Step 2: Convert to fraction form
    164,102.55/246,123.45 = 45,749.40/x
  3. Step 3: Cross multiply
    164,102.55x = 246,123.45 × 45,749.40
  4. Step 4: Simplify right side
    164,102.55x = 11,260,000,163.43
  5. Step 5: Solve for x
    x = 11,260,000,163.43/164,102.55
  6. Step 6: Final answer
    x = 68,615.63

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1.5x scale

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.