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Finding the Fourth Proportional to 123,004, 184,506 and 39,898

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Solution

The fourth proportional to 123,004, 184,506 and 39,898 is: 59,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,004 : 184,506 = 39,898 : x
  2. Step 2: Convert to fraction form
    123,004/184,506 = 39,898/x
  3. Step 3: Cross multiply
    123,004x = 184,506 × 39,898
  4. Step 4: Simplify right side
    123,004x = 7,361,420,388
  5. Step 5: Solve for x
    x = 7,361,420,388/123,004
  6. Step 6: Final answer
    x = 59,847

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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.