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Finding the Fourth Proportional to 123,166.94, 184,750.95 and 34,420.64

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Solution

The fourth proportional to 123,166.94, 184,750.95 and 34,420.64 is: 51,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166.94 : 184,750.95 = 34,420.64 : x
  2. Step 2: Convert to fraction form
    123,166.94/184,750.95 = 34,420.64/x
  3. Step 3: Cross multiply
    123,166.94x = 184,750.95 × 34,420.64
  4. Step 4: Simplify right side
    123,166.94x = 6,359,245,939.61
  5. Step 5: Solve for x
    x = 6,359,245,939.61/123,166.94
  6. Step 6: Final answer
    x = 51,631.11

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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.