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Finding the Fourth Proportional to 180,076.41, 270,114.81 and 46,956.55

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Solution

The fourth proportional to 180,076.41, 270,114.81 and 46,956.55 is: 70,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,076.41 : 270,114.81 = 46,956.55 : x
  2. Step 2: Convert to fraction form
    180,076.41/270,114.81 = 46,956.55/x
  3. Step 3: Cross multiply
    180,076.41x = 270,114.81 × 46,956.55
  4. Step 4: Simplify right side
    180,076.41x = 12,683,659,581.51
  5. Step 5: Solve for x
    x = 12,683,659,581.51/180,076.41
  6. Step 6: Final answer
    x = 70,434.88

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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.