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Finding the Fourth Proportional to 232,210.49, 320,314.38 and 146,032.77

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Solution

The fourth proportional to 232,210.49, 320,314.38 and 146,032.77 is: 201,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,210.49 : 320,314.38 = 146,032.77 : x
  2. Step 2: Convert to fraction form
    232,210.49/320,314.38 = 146,032.77/x
  3. Step 3: Cross multiply
    232,210.49x = 320,314.38 × 146,032.77
  4. Step 4: Simplify right side
    232,210.49x = 46,776,396,835.79
  5. Step 5: Solve for x
    x = 46,776,396,835.79/232,210.49
  6. Step 6: Final answer
    x = 201,439.64

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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.