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Finding the Fourth Proportional to 256,480.87, 353,943.93 and 147,583.03

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Solution

The fourth proportional to 256,480.87, 353,943.93 and 147,583.03 is: 203,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,480.87 : 353,943.93 = 147,583.03 : x
  2. Step 2: Convert to fraction form
    256,480.87/353,943.93 = 147,583.03/x
  3. Step 3: Cross multiply
    256,480.87x = 353,943.93 × 147,583.03
  4. Step 4: Simplify right side
    256,480.87x = 52,236,117,639.51
  5. Step 5: Solve for x
    x = 52,236,117,639.51/256,480.87
  6. Step 6: Final answer
    x = 203,664.77

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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.