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Finding the Fourth Proportional to 292,137.28, 403,142.64 and 164,809.60

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Solution

The fourth proportional to 292,137.28, 403,142.64 and 164,809.60 is: 227,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,137.28 : 403,142.64 = 164,809.60 : x
  2. Step 2: Convert to fraction form
    292,137.28/403,142.64 = 164,809.60/x
  3. Step 3: Cross multiply
    292,137.28x = 403,142.64 × 164,809.60
  4. Step 4: Simplify right side
    292,137.28x = 66,441,777,241.34
  5. Step 5: Solve for x
    x = 66,441,777,241.34/292,137.28
  6. Step 6: Final answer
    x = 227,433.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.