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Finding the Fourth Proportional to 210,100.78, 289,943.13 and 114,610.98

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Solution

The fourth proportional to 210,100.78, 289,943.13 and 114,610.98 is: 158,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,100.78 : 289,943.13 = 114,610.98 : x
  2. Step 2: Convert to fraction form
    210,100.78/289,943.13 = 114,610.98/x
  3. Step 3: Cross multiply
    210,100.78x = 289,943.13 × 114,610.98
  4. Step 4: Simplify right side
    210,100.78x = 33,230,666,273.57
  5. Step 5: Solve for x
    x = 33,230,666,273.57/210,100.78
  6. Step 6: Final answer
    x = 158,165.36

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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.