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Finding the Fourth Proportional to 301,813.57, 452,438.94 and 101,994.22

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Solution

The fourth proportional to 301,813.57, 452,438.94 and 101,994.22 is: 152,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,813.57 : 452,438.94 = 101,994.22 : x
  2. Step 2: Convert to fraction form
    301,813.57/452,438.94 = 101,994.22/x
  3. Step 3: Cross multiply
    301,813.57x = 452,438.94 × 101,994.22
  4. Step 4: Simplify right side
    301,813.57x = 46,146,154,520.73
  5. Step 5: Solve for x
    x = 46,146,154,520.73/301,813.57
  6. Step 6: Final answer
    x = 152,896.22

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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.