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Finding the Fourth Proportional to 151,872.71, 209,586.36 and 83,889.51

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Solution

The fourth proportional to 151,872.71, 209,586.36 and 83,889.51 is: 115,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,872.71 : 209,586.36 = 83,889.51 : x
  2. Step 2: Convert to fraction form
    151,872.71/209,586.36 = 83,889.51/x
  3. Step 3: Cross multiply
    151,872.71x = 209,586.36 × 83,889.51
  4. Step 4: Simplify right side
    151,872.71x = 17,582,096,623.64
  5. Step 5: Solve for x
    x = 17,582,096,623.64/151,872.71
  6. Step 6: Final answer
    x = 115,768.64

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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.