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Finding the Fourth Proportional to 201,662.90, 302,494.35 and 83,419.10

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Solution

The fourth proportional to 201,662.90, 302,494.35 and 83,419.10 is: 125,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.90 : 302,494.35 = 83,419.10 : x
  2. Step 2: Convert to fraction form
    201,662.90/302,494.35 = 83,419.10/x
  3. Step 3: Cross multiply
    201,662.90x = 302,494.35 × 83,419.10
  4. Step 4: Simplify right side
    201,662.90x = 25,233,806,432.09
  5. Step 5: Solve for x
    x = 25,233,806,432.09/201,662.90
  6. Step 6: Final answer
    x = 125,128.65

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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.