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Finding the Fourth Proportional to 184,706.81, 277,060.22 and 142,648.24

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Solution

The fourth proportional to 184,706.81, 277,060.22 and 142,648.24 is: 213,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,706.81 : 277,060.22 = 142,648.24 : x
  2. Step 2: Convert to fraction form
    184,706.81/277,060.22 = 142,648.24/x
  3. Step 3: Cross multiply
    184,706.81x = 277,060.22 × 142,648.24
  4. Step 4: Simplify right side
    184,706.81x = 39,522,152,806.74
  5. Step 5: Solve for x
    x = 39,522,152,806.74/184,706.81
  6. Step 6: Final answer
    x = 213,972.37

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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.