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Finding the Fourth Proportional to 301,222.44, 451,833.71 and 101,526.15

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Solution

The fourth proportional to 301,222.44, 451,833.71 and 101,526.15 is: 152,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,222.44 : 451,833.71 = 101,526.15 : x
  2. Step 2: Convert to fraction form
    301,222.44/451,833.71 = 101,526.15/x
  3. Step 3: Cross multiply
    301,222.44x = 451,833.71 × 101,526.15
  4. Step 4: Simplify right side
    301,222.44x = 45,872,936,508.89
  5. Step 5: Solve for x
    x = 45,872,936,508.89/301,222.44
  6. Step 6: Final answer
    x = 152,289.24

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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.