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Finding the Fourth Proportional to 232,701.54, 321,093.14 and 130,707.48

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Solution

The fourth proportional to 232,701.54, 321,093.14 and 130,707.48 is: 180,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,701.54 : 321,093.14 = 130,707.48 : x
  2. Step 2: Convert to fraction form
    232,701.54/321,093.14 = 130,707.48/x
  3. Step 3: Cross multiply
    232,701.54x = 321,093.14 × 130,707.48
  4. Step 4: Simplify right side
    232,701.54x = 41,969,275,174.69
  5. Step 5: Solve for x
    x = 41,969,275,174.69/232,701.54
  6. Step 6: Final answer
    x = 180,356.67

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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.