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Finding the Fourth Proportional to 301,216.51, 451,693.54 and 101,499.67

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Solution

The fourth proportional to 301,216.51, 451,693.54 and 101,499.67 is: 152,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,216.51 : 451,693.54 = 101,499.67 : x
  2. Step 2: Convert to fraction form
    301,216.51/451,693.54 = 101,499.67/x
  3. Step 3: Cross multiply
    301,216.51x = 451,693.54 × 101,499.67
  4. Step 4: Simplify right side
    301,216.51x = 45,846,745,251.13
  5. Step 5: Solve for x
    x = 45,846,745,251.13/301,216.51
  6. Step 6: Final answer
    x = 152,205.29

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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.