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Finding the Fourth Proportional to 210,966.99, 291,137.17 and 115,471.63

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Solution

The fourth proportional to 210,966.99, 291,137.17 and 115,471.63 is: 159,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,966.99 : 291,137.17 = 115,471.63 : x
  2. Step 2: Convert to fraction form
    210,966.99/291,137.17 = 115,471.63/x
  3. Step 3: Cross multiply
    210,966.99x = 291,137.17 × 115,471.63
  4. Step 4: Simplify right side
    210,966.99x = 33,618,083,573.49
  5. Step 5: Solve for x
    x = 33,618,083,573.49/210,966.99
  6. Step 6: Final answer
    x = 159,352.34

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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.