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Finding the Fourth Proportional to 210,009.78, 289,812.33 and 114,514.43

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Solution

The fourth proportional to 210,009.78, 289,812.33 and 114,514.43 is: 158,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.78 : 289,812.33 = 114,514.43 : x
  2. Step 2: Convert to fraction form
    210,009.78/289,812.33 = 114,514.43/x
  3. Step 3: Cross multiply
    210,009.78x = 289,812.33 × 114,514.43
  4. Step 4: Simplify right side
    210,009.78x = 33,187,693,776.92
  5. Step 5: Solve for x
    x = 33,187,693,776.92/210,009.78
  6. Step 6: Final answer
    x = 158,029.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.