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Finding the Fourth Proportional to 270,804.78, 406,272.06 and 83,816.28

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Solution

The fourth proportional to 270,804.78, 406,272.06 and 83,816.28 is: 125,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,804.78 : 406,272.06 = 83,816.28 : x
  2. Step 2: Convert to fraction form
    270,804.78/406,272.06 = 83,816.28/x
  3. Step 3: Cross multiply
    270,804.78x = 406,272.06 × 83,816.28
  4. Step 4: Simplify right side
    270,804.78x = 34,052,212,737.14
  5. Step 5: Solve for x
    x = 34,052,212,737.14/270,804.78
  6. Step 6: Final answer
    x = 125,744.50

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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.