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Finding the Fourth Proportional to 184,903.70, 277,210.35 and 78,200.37

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Solution

The fourth proportional to 184,903.70, 277,210.35 and 78,200.37 is: 117,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,903.70 : 277,210.35 = 78,200.37 : x
  2. Step 2: Convert to fraction form
    184,903.70/277,210.35 = 78,200.37/x
  3. Step 3: Cross multiply
    184,903.70x = 277,210.35 × 78,200.37
  4. Step 4: Simplify right side
    184,903.70x = 21,677,951,937.83
  5. Step 5: Solve for x
    x = 21,677,951,937.83/184,903.70
  6. Step 6: Final answer
    x = 117,239.15

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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.