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Finding the Fourth Proportional to 256,037.60, 384,056.40 and 145,445.60

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Solution

The fourth proportional to 256,037.60, 384,056.40 and 145,445.60 is: 218,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,037.60 : 384,056.40 = 145,445.60 : x
  2. Step 2: Convert to fraction form
    256,037.60/384,056.40 = 145,445.60/x
  3. Step 3: Cross multiply
    256,037.60x = 384,056.40 × 145,445.60
  4. Step 4: Simplify right side
    256,037.60x = 55,859,313,531.84
  5. Step 5: Solve for x
    x = 55,859,313,531.84/256,037.60
  6. Step 6: Final answer
    x = 218,168.40

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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.