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Finding the Fourth Proportional to 256,015.40, 384,023.10 and 89,820.20

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Solution

The fourth proportional to 256,015.40, 384,023.10 and 89,820.20 is: 134,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,015.40 : 384,023.10 = 89,820.20 : x
  2. Step 2: Convert to fraction form
    256,015.40/384,023.10 = 89,820.20/x
  3. Step 3: Cross multiply
    256,015.40x = 384,023.10 × 89,820.20
  4. Step 4: Simplify right side
    256,015.40x = 34,493,031,646.62
  5. Step 5: Solve for x
    x = 34,493,031,646.62/256,015.40
  6. Step 6: Final answer
    x = 134,730.30

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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.