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Finding the Fourth Proportional to 256,728.51, 354,297.78 and 142,006.66

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Solution

The fourth proportional to 256,728.51, 354,297.78 and 142,006.66 is: 195,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728.51 : 354,297.78 = 142,006.66 : x
  2. Step 2: Convert to fraction form
    256,728.51/354,297.78 = 142,006.66/x
  3. Step 3: Cross multiply
    256,728.51x = 354,297.78 × 142,006.66
  4. Step 4: Simplify right side
    256,728.51x = 50,312,643,497.47
  5. Step 5: Solve for x
    x = 50,312,643,497.47/256,728.51
  6. Step 6: Final answer
    x = 195,976.07

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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.