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Finding the Fourth Proportional to 299,703, 449,554.50 and 78,087

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Solution

The fourth proportional to 299,703, 449,554.50 and 78,087 is: 117,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,703 : 449,554.50 = 78,087 : x
  2. Step 2: Convert to fraction form
    299,703/449,554.50 = 78,087/x
  3. Step 3: Cross multiply
    299,703x = 449,554.50 × 78,087
  4. Step 4: Simplify right side
    299,703x = 35,104,362,241.50
  5. Step 5: Solve for x
    x = 35,104,362,241.50/299,703
  6. Step 6: Final answer
    x = 117,130.50

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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.