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Finding the Fourth Proportional to 188,094.51, 282,112.61 and 54,939.02

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Solution

The fourth proportional to 188,094.51, 282,112.61 and 54,939.02 is: 82,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,094.51 : 282,112.61 = 54,939.02 : x
  2. Step 2: Convert to fraction form
    188,094.51/282,112.61 = 54,939.02/x
  3. Step 3: Cross multiply
    188,094.51x = 282,112.61 × 54,939.02
  4. Step 4: Simplify right side
    188,094.51x = 15,498,988,637.78
  5. Step 5: Solve for x
    x = 15,498,988,637.78/188,094.51
  6. Step 6: Final answer
    x = 82,400.01

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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.