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Finding the Fourth Proportional to 232,228.92, 320,471.76 and 130,254.60

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Solution

The fourth proportional to 232,228.92, 320,471.76 and 130,254.60 is: 179,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,228.92 : 320,471.76 = 130,254.60 : x
  2. Step 2: Convert to fraction form
    232,228.92/320,471.76 = 130,254.60/x
  3. Step 3: Cross multiply
    232,228.92x = 320,471.76 × 130,254.60
  4. Step 4: Simplify right side
    232,228.92x = 41,742,920,910.10
  5. Step 5: Solve for x
    x = 41,742,920,910.10/232,228.92
  6. Step 6: Final answer
    x = 179,749.02

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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.