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Finding the Fourth Proportional to 301,198.50, 451,705.59 and 101,465.31

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Solution

The fourth proportional to 301,198.50, 451,705.59 and 101,465.31 is: 152,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,198.50 : 451,705.59 = 101,465.31 : x
  2. Step 2: Convert to fraction form
    301,198.50/451,705.59 = 101,465.31/x
  3. Step 3: Cross multiply
    301,198.50x = 451,705.59 × 101,465.31
  4. Step 4: Simplify right side
    301,198.50x = 45,832,447,718.08
  5. Step 5: Solve for x
    x = 45,832,447,718.08/301,198.50
  6. Step 6: Final answer
    x = 152,166.92

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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.