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Finding the Fourth Proportional to 301,813.07, 452,438.19 and 101,993.72

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Solution

The fourth proportional to 301,813.07, 452,438.19 and 101,993.72 is: 152,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,813.07 : 452,438.19 = 101,993.72 : x
  2. Step 2: Convert to fraction form
    301,813.07/452,438.19 = 101,993.72/x
  3. Step 3: Cross multiply
    301,813.07x = 452,438.19 × 101,993.72
  4. Step 4: Simplify right side
    301,813.07x = 46,145,851,805.98
  5. Step 5: Solve for x
    x = 46,145,851,805.98/301,813.07
  6. Step 6: Final answer
    x = 152,895.47

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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.