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Finding the Fourth Proportional to 256,130.40, 384,414.30 and 114,194.10

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Solution

The fourth proportional to 256,130.40, 384,414.30 and 114,194.10 is: 171,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,130.40 : 384,414.30 = 114,194.10 : x
  2. Step 2: Convert to fraction form
    256,130.40/384,414.30 = 114,194.10/x
  3. Step 3: Cross multiply
    256,130.40x = 384,414.30 × 114,194.10
  4. Step 4: Simplify right side
    256,130.40x = 43,897,845,015.63
  5. Step 5: Solve for x
    x = 43,897,845,015.63/256,130.40
  6. Step 6: Final answer
    x = 171,388.66

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1.5x scale

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.