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Finding the Fourth Proportional to 256,193.01, 353,621.43 and 148,811.31

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Solution

The fourth proportional to 256,193.01, 353,621.43 and 148,811.31 is: 205,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,193.01 : 353,621.43 = 148,811.31 : x
  2. Step 2: Convert to fraction form
    256,193.01/353,621.43 = 148,811.31/x
  3. Step 3: Cross multiply
    256,193.01x = 353,621.43 × 148,811.31
  4. Step 4: Simplify right side
    256,193.01x = 52,622,868,242.37
  5. Step 5: Solve for x
    x = 52,622,868,242.37/256,193.01
  6. Step 6: Final answer
    x = 205,403.22

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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.