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Finding the Fourth Proportional to 232,318.96, 320,594 and 130,335.90

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Solution

The fourth proportional to 232,318.96, 320,594 and 130,335.90 is: 179,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,318.96 : 320,594 = 130,335.90 : x
  2. Step 2: Convert to fraction form
    232,318.96/320,594 = 130,335.90/x
  3. Step 3: Cross multiply
    232,318.96x = 320,594 × 130,335.90
  4. Step 4: Simplify right side
    232,318.96x = 41,784,907,524.60
  5. Step 5: Solve for x
    x = 41,784,907,524.60/232,318.96
  6. Step 6: Final answer
    x = 179,860.08

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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.