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Finding the Fourth Proportional to 203,580.81, 280,757.48 and 127,106.82

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Solution

The fourth proportional to 203,580.81, 280,757.48 and 127,106.82 is: 175,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,580.81 : 280,757.48 = 127,106.82 : x
  2. Step 2: Convert to fraction form
    203,580.81/280,757.48 = 127,106.82/x
  3. Step 3: Cross multiply
    203,580.81x = 280,757.48 × 127,106.82
  4. Step 4: Simplify right side
    203,580.81x = 35,686,189,838.48
  5. Step 5: Solve for x
    x = 35,686,189,838.48/203,580.81
  6. Step 6: Final answer
    x = 175,292.50

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1.5x scale

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.