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Finding the Fourth Proportional to 171,853.49, 257,696.89 and 100,799.35

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Solution

The fourth proportional to 171,853.49, 257,696.89 and 100,799.35 is: 151,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,853.49 : 257,696.89 = 100,799.35 : x
  2. Step 2: Convert to fraction form
    171,853.49/257,696.89 = 100,799.35/x
  3. Step 3: Cross multiply
    171,853.49x = 257,696.89 × 100,799.35
  4. Step 4: Simplify right side
    171,853.49x = 25,975,679,009.02
  5. Step 5: Solve for x
    x = 25,975,679,009.02/171,853.49
  6. Step 6: Final answer
    x = 151,150.14

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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.