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Finding the Fourth Proportional to 169,889.16, 254,843.46 and 51,564.36

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Solution

The fourth proportional to 169,889.16, 254,843.46 and 51,564.36 is: 77,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,889.16 : 254,843.46 = 51,564.36 : x
  2. Step 2: Convert to fraction form
    169,889.16/254,843.46 = 51,564.36/x
  3. Step 3: Cross multiply
    169,889.16x = 254,843.46 × 51,564.36
  4. Step 4: Simplify right side
    169,889.16x = 13,140,839,915.09
  5. Step 5: Solve for x
    x = 13,140,839,915.09/169,889.16
  6. Step 6: Final answer
    x = 77,349.49

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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.