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Finding the Fourth Proportional to 201,850.84, 302,595.36 and 83,446.48

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Solution

The fourth proportional to 201,850.84, 302,595.36 and 83,446.48 is: 125,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850.84 : 302,595.36 = 83,446.48 : x
  2. Step 2: Convert to fraction form
    201,850.84/302,595.36 = 83,446.48/x
  3. Step 3: Cross multiply
    201,850.84x = 302,595.36 × 83,446.48
  4. Step 4: Simplify right side
    201,850.84x = 25,250,517,656.33
  5. Step 5: Solve for x
    x = 25,250,517,656.33/201,850.84
  6. Step 6: Final answer
    x = 125,094.93

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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.