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Finding the Fourth Proportional to 155,769, 233,692.38 and 44,961

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Solution

The fourth proportional to 155,769, 233,692.38 and 44,961 is: 67,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,769 : 233,692.38 = 44,961 : x
  2. Step 2: Convert to fraction form
    155,769/233,692.38 = 44,961/x
  3. Step 3: Cross multiply
    155,769x = 233,692.38 × 44,961
  4. Step 4: Simplify right side
    155,769x = 10,507,043,097.18
  5. Step 5: Solve for x
    x = 10,507,043,097.18/155,769
  6. Step 6: Final answer
    x = 67,452.72

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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.