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Finding the Fourth Proportional to 301,117.70, 451,677.36 and 101,578.25

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Solution

The fourth proportional to 301,117.70, 451,677.36 and 101,578.25 is: 152,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,117.70 : 451,677.36 = 101,578.25 : x
  2. Step 2: Convert to fraction form
    301,117.70/451,677.36 = 101,578.25/x
  3. Step 3: Cross multiply
    301,117.70x = 451,677.36 × 101,578.25
  4. Step 4: Simplify right side
    301,117.70x = 45,880,595,793.42
  5. Step 5: Solve for x
    x = 45,880,595,793.42/301,117.70
  6. Step 6: Final answer
    x = 152,367.65

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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.