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Finding the Fourth Proportional to 232,210.11, 320,313.86 and 146,032.40

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Solution

The fourth proportional to 232,210.11, 320,313.86 and 146,032.40 is: 201,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,210.11 : 320,313.86 = 146,032.40 : x
  2. Step 2: Convert to fraction form
    232,210.11/320,313.86 = 146,032.40/x
  3. Step 3: Cross multiply
    232,210.11x = 320,313.86 × 146,032.40
  4. Step 4: Simplify right side
    232,210.11x = 46,776,202,894.93
  5. Step 5: Solve for x
    x = 46,776,202,894.93/232,210.11
  6. Step 6: Final answer
    x = 201,439.13

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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.