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Finding the Fourth Proportional to 232,641.63, 321,046.74 and 130,667.10

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Solution

The fourth proportional to 232,641.63, 321,046.74 and 130,667.10 is: 180,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,641.63 : 321,046.74 = 130,667.10 : x
  2. Step 2: Convert to fraction form
    232,641.63/321,046.74 = 130,667.10/x
  3. Step 3: Cross multiply
    232,641.63x = 321,046.74 × 130,667.10
  4. Step 4: Simplify right side
    232,641.63x = 41,950,246,480.25
  5. Step 5: Solve for x
    x = 41,950,246,480.25/232,641.63
  6. Step 6: Final answer
    x = 180,321.32

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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.