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Finding the Fourth Proportional to 78,369.45, 117,554.31 and 19,205.31

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Solution

The fourth proportional to 78,369.45, 117,554.31 and 19,205.31 is: 28,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,369.45 : 117,554.31 = 19,205.31 : x
  2. Step 2: Convert to fraction form
    78,369.45/117,554.31 = 19,205.31/x
  3. Step 3: Cross multiply
    78,369.45x = 117,554.31 × 19,205.31
  4. Step 4: Simplify right side
    78,369.45x = 2,257,666,965.39
  5. Step 5: Solve for x
    x = 2,257,666,965.39/78,369.45
  6. Step 6: Final answer
    x = 28,808.00

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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.