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Finding the Fourth Proportional to 200,116.51, 299,693.72 and 114,467.78

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Solution

The fourth proportional to 200,116.51, 299,693.72 and 114,467.78 is: 171,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,116.51 : 299,693.72 = 114,467.78 : x
  2. Step 2: Convert to fraction form
    200,116.51/299,693.72 = 114,467.78/x
  3. Step 3: Cross multiply
    200,116.51x = 299,693.72 × 114,467.78
  4. Step 4: Simplify right side
    200,116.51x = 34,305,274,808.34
  5. Step 5: Solve for x
    x = 34,305,274,808.34/200,116.51
  6. Step 6: Final answer
    x = 171,426.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.