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Finding the Fourth Proportional to 305,800.70, 458,701.05 and 106,054.70

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Solution

The fourth proportional to 305,800.70, 458,701.05 and 106,054.70 is: 159,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,800.70 : 458,701.05 = 106,054.70 : x
  2. Step 2: Convert to fraction form
    305,800.70/458,701.05 = 106,054.70/x
  3. Step 3: Cross multiply
    305,800.70x = 458,701.05 × 106,054.70
  4. Step 4: Simplify right side
    305,800.70x = 48,647,402,247.44
  5. Step 5: Solve for x
    x = 48,647,402,247.44/305,800.70
  6. Step 6: Final answer
    x = 159,082.05

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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.