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Finding the Fourth Proportional to 122,640.81, 183,984.03 and 42,675.45

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Solution

The fourth proportional to 122,640.81, 183,984.03 and 42,675.45 is: 64,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,640.81 : 183,984.03 = 42,675.45 : x
  2. Step 2: Convert to fraction form
    122,640.81/183,984.03 = 42,675.45/x
  3. Step 3: Cross multiply
    122,640.81x = 183,984.03 × 42,675.45
  4. Step 4: Simplify right side
    122,640.81x = 7,851,601,273.06
  5. Step 5: Solve for x
    x = 7,851,601,273.06/122,640.81
  6. Step 6: Final answer
    x = 64,021.11

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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.