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Finding the Fourth Proportional to 180,659.81, 270,774.42 and 74,039.46

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Solution

The fourth proportional to 180,659.81, 270,774.42 and 74,039.46 is: 110,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,659.81 : 270,774.42 = 74,039.46 : x
  2. Step 2: Convert to fraction form
    180,659.81/270,774.42 = 74,039.46/x
  3. Step 3: Cross multiply
    180,659.81x = 270,774.42 × 74,039.46
  4. Step 4: Simplify right side
    180,659.81x = 20,047,991,838.61
  5. Step 5: Solve for x
    x = 20,047,991,838.61/180,659.81
  6. Step 6: Final answer
    x = 110,970.96

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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.