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Finding the Fourth Proportional to 151,873.83, 209,586.29 and 83,889.59

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Solution

The fourth proportional to 151,873.83, 209,586.29 and 83,889.59 is: 115,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,873.83 : 209,586.29 = 83,889.59 : x
  2. Step 2: Convert to fraction form
    151,873.83/209,586.29 = 83,889.59/x
  3. Step 3: Cross multiply
    151,873.83x = 209,586.29 × 83,889.59
  4. Step 4: Simplify right side
    151,873.83x = 17,582,106,470.34
  5. Step 5: Solve for x
    x = 17,582,106,470.34/151,873.83
  6. Step 6: Final answer
    x = 115,767.85

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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.