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Finding the Fourth Proportional to 169,896.28, 254,810.40 and 161,465.80

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Solution

The fourth proportional to 169,896.28, 254,810.40 and 161,465.80 is: 242,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,896.28 : 254,810.40 = 161,465.80 : x
  2. Step 2: Convert to fraction form
    169,896.28/254,810.40 = 161,465.80/x
  3. Step 3: Cross multiply
    169,896.28x = 254,810.40 × 161,465.80
  4. Step 4: Simplify right side
    169,896.28x = 41,143,165,084.32
  5. Step 5: Solve for x
    x = 41,143,165,084.32/169,896.28
  6. Step 6: Final answer
    x = 242,166.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.