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Finding the Fourth Proportional to 133,444, 184,152.76 and 83,143.04

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Solution

The fourth proportional to 133,444, 184,152.76 and 83,143.04 is: 114,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,444 : 184,152.76 = 83,143.04 : x
  2. Step 2: Convert to fraction form
    133,444/184,152.76 = 83,143.04/x
  3. Step 3: Cross multiply
    133,444x = 184,152.76 × 83,143.04
  4. Step 4: Simplify right side
    133,444x = 15,311,020,290.79
  5. Step 5: Solve for x
    x = 15,311,020,290.79/133,444
  6. Step 6: Final answer
    x = 114,737.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.