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Finding the Fourth Proportional to 180,554.89, 270,831.66 and 54,194.58

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Solution

The fourth proportional to 180,554.89, 270,831.66 and 54,194.58 is: 81,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,554.89 : 270,831.66 = 54,194.58 : x
  2. Step 2: Convert to fraction form
    180,554.89/270,831.66 = 54,194.58/x
  3. Step 3: Cross multiply
    180,554.89x = 270,831.66 × 54,194.58
  4. Step 4: Simplify right side
    180,554.89x = 14,677,608,064.40
  5. Step 5: Solve for x
    x = 14,677,608,064.40/180,554.89
  6. Step 6: Final answer
    x = 81,291.67

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1.5x scale

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.