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Finding the Fourth Proportional to 201,782.60, 302,649.60 and 83,441.60

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Solution

The fourth proportional to 201,782.60, 302,649.60 and 83,441.60 is: 125,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.60 : 302,649.60 = 83,441.60 : x
  2. Step 2: Convert to fraction form
    201,782.60/302,649.60 = 83,441.60/x
  3. Step 3: Cross multiply
    201,782.60x = 302,649.60 × 83,441.60
  4. Step 4: Simplify right side
    201,782.60x = 25,253,566,863.36
  5. Step 5: Solve for x
    x = 25,253,566,863.36/201,782.60
  6. Step 6: Final answer
    x = 125,152.35

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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.