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Finding the Fourth Proportional to 103,967.90, 155,692.65 and 83,231.90

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Solution

The fourth proportional to 103,967.90, 155,692.65 and 83,231.90 is: 124,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,967.90 : 155,692.65 = 83,231.90 : x
  2. Step 2: Convert to fraction form
    103,967.90/155,692.65 = 83,231.90/x
  3. Step 3: Cross multiply
    103,967.90x = 155,692.65 × 83,231.90
  4. Step 4: Simplify right side
    103,967.90x = 12,958,595,075.54
  5. Step 5: Solve for x
    x = 12,958,595,075.54/103,967.90
  6. Step 6: Final answer
    x = 124,640.35

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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.