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Finding the Fourth Proportional to 180,477, 248,975.52 and 116,835.30

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Solution

The fourth proportional to 180,477, 248,975.52 and 116,835.30 is: 161,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,477 : 248,975.52 = 116,835.30 : x
  2. Step 2: Convert to fraction form
    180,477/248,975.52 = 116,835.30/x
  3. Step 3: Cross multiply
    180,477x = 248,975.52 × 116,835.30
  4. Step 4: Simplify right side
    180,477x = 29,089,129,571.86
  5. Step 5: Solve for x
    x = 29,089,129,571.86/180,477
  6. Step 6: Final answer
    x = 161,179.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.