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Finding the Fourth Proportional to 232,143.82, 320,222.36 and 145,966.19

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Solution

The fourth proportional to 232,143.82, 320,222.36 and 145,966.19 is: 201,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,143.82 : 320,222.36 = 145,966.19 : x
  2. Step 2: Convert to fraction form
    232,143.82/320,222.36 = 145,966.19/x
  3. Step 3: Cross multiply
    232,143.82x = 320,222.36 × 145,966.19
  4. Step 4: Simplify right side
    232,143.82x = 46,741,636,605.81
  5. Step 5: Solve for x
    x = 46,741,636,605.81/232,143.82
  6. Step 6: Final answer
    x = 201,347.76

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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.