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Finding the Fourth Proportional to 305,855.77, 458,788.27 and 106,182.50

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Solution

The fourth proportional to 305,855.77, 458,788.27 and 106,182.50 is: 159,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,855.77 : 458,788.27 = 106,182.50 : x
  2. Step 2: Convert to fraction form
    305,855.77/458,788.27 = 106,182.50/x
  3. Step 3: Cross multiply
    305,855.77x = 458,788.27 × 106,182.50
  4. Step 4: Simplify right side
    305,855.77x = 48,715,286,246.22
  5. Step 5: Solve for x
    x = 48,715,286,246.22/305,855.77
  6. Step 6: Final answer
    x = 159,275.35

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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.