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Finding the Fourth Proportional to 232,716.54, 321,150.12 and 130,746.30

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Solution

The fourth proportional to 232,716.54, 321,150.12 and 130,746.30 is: 180,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716.54 : 321,150.12 = 130,746.30 : x
  2. Step 2: Convert to fraction form
    232,716.54/321,150.12 = 130,746.30/x
  3. Step 3: Cross multiply
    232,716.54x = 321,150.12 × 130,746.30
  4. Step 4: Simplify right side
    232,716.54x = 41,989,189,934.56
  5. Step 5: Solve for x
    x = 41,989,189,934.56/232,716.54
  6. Step 6: Final answer
    x = 180,430.62

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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.