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Finding the Fourth Proportional to 232,209.71, 320,313.30 and 146,032.00

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Solution

The fourth proportional to 232,209.71, 320,313.30 and 146,032.00 is: 201,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,209.71 : 320,313.30 = 146,032.00 : x
  2. Step 2: Convert to fraction form
    232,209.71/320,313.30 = 146,032.00/x
  3. Step 3: Cross multiply
    232,209.71x = 320,313.30 × 146,032.00
  4. Step 4: Simplify right side
    232,209.71x = 46,775,990,224.03
  5. Step 5: Solve for x
    x = 46,775,990,224.03/232,209.71
  6. Step 6: Final answer
    x = 201,438.57

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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.