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Finding the Fourth Proportional to 232,176.15, 320,266.99 and 145,998.43

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Solution

The fourth proportional to 232,176.15, 320,266.99 and 145,998.43 is: 201,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,176.15 : 320,266.99 = 145,998.43 : x
  2. Step 2: Convert to fraction form
    232,176.15/320,266.99 = 145,998.43/x
  3. Step 3: Cross multiply
    232,176.15x = 320,266.99 × 145,998.43
  4. Step 4: Simplify right side
    232,176.15x = 46,758,477,720.83
  5. Step 5: Solve for x
    x = 46,758,477,720.83/232,176.15
  6. Step 6: Final answer
    x = 201,392.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.