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Finding the Fourth Proportional to 200,886.56, 277,118.79 and 119,167.28

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Solution

The fourth proportional to 200,886.56, 277,118.79 and 119,167.28 is: 164,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.56 : 277,118.79 = 119,167.28 : x
  2. Step 2: Convert to fraction form
    200,886.56/277,118.79 = 119,167.28/x
  3. Step 3: Cross multiply
    200,886.56x = 277,118.79 × 119,167.28
  4. Step 4: Simplify right side
    200,886.56x = 33,023,492,441.19
  5. Step 5: Solve for x
    x = 33,023,492,441.19/200,886.56
  6. Step 6: Final answer
    x = 164,388.76

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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.