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Finding the Fourth Proportional to 188,430.80, 282,208.80 and 184,056.80

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Solution

The fourth proportional to 188,430.80, 282,208.80 and 184,056.80 is: 275,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,430.80 : 282,208.80 = 184,056.80 : x
  2. Step 2: Convert to fraction form
    188,430.80/282,208.80 = 184,056.80/x
  3. Step 3: Cross multiply
    188,430.80x = 282,208.80 × 184,056.80
  4. Step 4: Simplify right side
    188,430.80x = 51,942,448,659.84
  5. Step 5: Solve for x
    x = 51,942,448,659.84/188,430.80
  6. Step 6: Final answer
    x = 275,657.95

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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.