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Finding the Fourth Proportional to 180,655.81, 270,968.34 and 74,009.32

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Solution

The fourth proportional to 180,655.81, 270,968.34 and 74,009.32 is: 111,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,655.81 : 270,968.34 = 74,009.32 : x
  2. Step 2: Convert to fraction form
    180,655.81/270,968.34 = 74,009.32/x
  3. Step 3: Cross multiply
    180,655.81x = 270,968.34 × 74,009.32
  4. Step 4: Simplify right side
    180,655.81x = 20,054,182,584.93
  5. Step 5: Solve for x
    x = 20,054,182,584.93/180,655.81
  6. Step 6: Final answer
    x = 111,007.68

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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.