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Finding the Fourth Proportional to 210,179.47, 289,971.87 and 161,796.19

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Solution

The fourth proportional to 210,179.47, 289,971.87 and 161,796.19 is: 223,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,179.47 : 289,971.87 = 161,796.19 : x
  2. Step 2: Convert to fraction form
    210,179.47/289,971.87 = 161,796.19/x
  3. Step 3: Cross multiply
    210,179.47x = 289,971.87 × 161,796.19
  4. Step 4: Simplify right side
    210,179.47x = 46,916,343,773.18
  5. Step 5: Solve for x
    x = 46,916,343,773.18/210,179.47
  6. Step 6: Final answer
    x = 223,220.39

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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.