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Finding the Fourth Proportional to 200,432.94, 276,528.78 and 114,330.03

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Solution

The fourth proportional to 200,432.94, 276,528.78 and 114,330.03 is: 157,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.94 : 276,528.78 = 114,330.03 : x
  2. Step 2: Convert to fraction form
    200,432.94/276,528.78 = 114,330.03/x
  3. Step 3: Cross multiply
    200,432.94x = 276,528.78 × 114,330.03
  4. Step 4: Simplify right side
    200,432.94x = 31,615,543,713.26
  5. Step 5: Solve for x
    x = 31,615,543,713.26/200,432.94
  6. Step 6: Final answer
    x = 157,736.27

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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.