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Finding the Fourth Proportional to 192,206.52, 288,309.78 and 87,023.16

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Solution

The fourth proportional to 192,206.52, 288,309.78 and 87,023.16 is: 130,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,206.52 : 288,309.78 = 87,023.16 : x
  2. Step 2: Convert to fraction form
    192,206.52/288,309.78 = 87,023.16/x
  3. Step 3: Cross multiply
    192,206.52x = 288,309.78 × 87,023.16
  4. Step 4: Simplify right side
    192,206.52x = 25,089,628,114.50
  5. Step 5: Solve for x
    x = 25,089,628,114.50/192,206.52
  6. Step 6: Final answer
    x = 130,534.74

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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.