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Finding the Fourth Proportional to 123,142.56, 184,715.36 and 34,390.72

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Solution

The fourth proportional to 123,142.56, 184,715.36 and 34,390.72 is: 51,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142.56 : 184,715.36 = 34,390.72 : x
  2. Step 2: Convert to fraction form
    123,142.56/184,715.36 = 34,390.72/x
  3. Step 3: Cross multiply
    123,142.56x = 184,715.36 × 34,390.72
  4. Step 4: Simplify right side
    123,142.56x = 6,352,494,225.46
  5. Step 5: Solve for x
    x = 6,352,494,225.46/123,142.56
  6. Step 6: Final answer
    x = 51,586.50

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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.