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Finding the Fourth Proportional to 203,445.28, 280,739.28 and 114,004

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Solution

The fourth proportional to 203,445.28, 280,739.28 and 114,004 is: 157,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,445.28 : 280,739.28 = 114,004 : x
  2. Step 2: Convert to fraction form
    203,445.28/280,739.28 = 114,004/x
  3. Step 3: Cross multiply
    203,445.28x = 280,739.28 × 114,004
  4. Step 4: Simplify right side
    203,445.28x = 32,005,400,877.12
  5. Step 5: Solve for x
    x = 32,005,400,877.12/203,445.28
  6. Step 6: Final answer
    x = 157,317.00

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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.