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Finding the Fourth Proportional to 301,206.70, 451,810.05 and 165,904.30

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Solution

The fourth proportional to 301,206.70, 451,810.05 and 165,904.30 is: 248,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,206.70 : 451,810.05 = 165,904.30 : x
  2. Step 2: Convert to fraction form
    301,206.70/451,810.05 = 165,904.30/x
  3. Step 3: Cross multiply
    301,206.70x = 451,810.05 × 165,904.30
  4. Step 4: Simplify right side
    301,206.70x = 74,957,230,078.22
  5. Step 5: Solve for x
    x = 74,957,230,078.22/301,206.70
  6. Step 6: Final answer
    x = 248,856.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.