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Finding the Fourth Proportional to 188,087.07, 282,152.01 and 68,200.49

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Solution

The fourth proportional to 188,087.07, 282,152.01 and 68,200.49 is: 102,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,087.07 : 282,152.01 = 68,200.49 : x
  2. Step 2: Convert to fraction form
    188,087.07/282,152.01 = 68,200.49/x
  3. Step 3: Cross multiply
    188,087.07x = 282,152.01 × 68,200.49
  4. Step 4: Simplify right side
    188,087.07x = 19,242,906,041.86
  5. Step 5: Solve for x
    x = 19,242,906,041.86/188,087.07
  6. Step 6: Final answer
    x = 102,308.50

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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.