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Finding the Fourth Proportional to 256,189.20, 384,283.80 and 156,656.40

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Solution

The fourth proportional to 256,189.20, 384,283.80 and 156,656.40 is: 234,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,189.20 : 384,283.80 = 156,656.40 : x
  2. Step 2: Convert to fraction form
    256,189.20/384,283.80 = 156,656.40/x
  3. Step 3: Cross multiply
    256,189.20x = 384,283.80 × 156,656.40
  4. Step 4: Simplify right side
    256,189.20x = 60,200,516,686.32
  5. Step 5: Solve for x
    x = 60,200,516,686.32/256,189.20
  6. Step 6: Final answer
    x = 234,984.60

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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.