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Finding the Fourth Proportional to 280,243.51, 386,745.38 and 152,926.09

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Solution

The fourth proportional to 280,243.51, 386,745.38 and 152,926.09 is: 211,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,243.51 : 386,745.38 = 152,926.09 : x
  2. Step 2: Convert to fraction form
    280,243.51/386,745.38 = 152,926.09/x
  3. Step 3: Cross multiply
    280,243.51x = 386,745.38 × 152,926.09
  4. Step 4: Simplify right side
    280,243.51x = 59,143,458,788.96
  5. Step 5: Solve for x
    x = 59,143,458,788.96/280,243.51
  6. Step 6: Final answer
    x = 211,043.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.