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Finding the Fourth Proportional to 120,084.03, 165,692.41 and 72,340

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Solution

The fourth proportional to 120,084.03, 165,692.41 and 72,340 is: 99,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,084.03 : 165,692.41 = 72,340 : x
  2. Step 2: Convert to fraction form
    120,084.03/165,692.41 = 72,340/x
  3. Step 3: Cross multiply
    120,084.03x = 165,692.41 × 72,340
  4. Step 4: Simplify right side
    120,084.03x = 11,986,188,939.40
  5. Step 5: Solve for x
    x = 11,986,188,939.40/120,084.03
  6. Step 6: Final answer
    x = 99,815.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.