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Finding the Fourth Proportional to 184,967.46, 277,451.19 and 78,368.22

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Solution

The fourth proportional to 184,967.46, 277,451.19 and 78,368.22 is: 117,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,967.46 : 277,451.19 = 78,368.22 : x
  2. Step 2: Convert to fraction form
    184,967.46/277,451.19 = 78,368.22/x
  3. Step 3: Cross multiply
    184,967.46x = 277,451.19 × 78,368.22
  4. Step 4: Simplify right side
    184,967.46x = 21,743,355,897.18
  5. Step 5: Solve for x
    x = 21,743,355,897.18/184,967.46
  6. Step 6: Final answer
    x = 117,552.33

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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.