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Finding the Fourth Proportional to 258,595.80, 356,911.36 and 161,844.66

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Solution

The fourth proportional to 258,595.80, 356,911.36 and 161,844.66 is: 223,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,595.80 : 356,911.36 = 161,844.66 : x
  2. Step 2: Convert to fraction form
    258,595.80/356,911.36 = 161,844.66/x
  3. Step 3: Cross multiply
    258,595.80x = 356,911.36 × 161,844.66
  4. Step 4: Simplify right side
    258,595.80x = 57,764,197,709.34
  5. Step 5: Solve for x
    x = 57,764,197,709.34/258,595.80
  6. Step 6: Final answer
    x = 223,376.40

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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.