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Finding the Fourth Proportional to 201,649.96, 302,274.60 and 96,346

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Solution

The fourth proportional to 201,649.96, 302,274.60 and 96,346 is: 144,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.96 : 302,274.60 = 96,346 : x
  2. Step 2: Convert to fraction form
    201,649.96/302,274.60 = 96,346/x
  3. Step 3: Cross multiply
    201,649.96x = 302,274.60 × 96,346
  4. Step 4: Simplify right side
    201,649.96x = 29,122,948,611.60
  5. Step 5: Solve for x
    x = 29,122,948,611.60/201,649.96
  6. Step 6: Final answer
    x = 144,423.28

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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.