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Finding the Fourth Proportional to 184,042.70, 276,064.05 and 105,164.90

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Solution

The fourth proportional to 184,042.70, 276,064.05 and 105,164.90 is: 157,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.70 : 276,064.05 = 105,164.90 : x
  2. Step 2: Convert to fraction form
    184,042.70/276,064.05 = 105,164.90/x
  3. Step 3: Cross multiply
    184,042.70x = 276,064.05 × 105,164.90
  4. Step 4: Simplify right side
    184,042.70x = 29,032,248,211.85
  5. Step 5: Solve for x
    x = 29,032,248,211.85/184,042.70
  6. Step 6: Final answer
    x = 157,747.35

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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.