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Finding the Fourth Proportional to 256,097.60, 384,002.40 and 98,331.20

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Solution

The fourth proportional to 256,097.60, 384,002.40 and 98,331.20 is: 147,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.60 : 384,002.40 = 98,331.20 : x
  2. Step 2: Convert to fraction form
    256,097.60/384,002.40 = 98,331.20/x
  3. Step 3: Cross multiply
    256,097.60x = 384,002.40 × 98,331.20
  4. Step 4: Simplify right side
    256,097.60x = 37,759,416,794.88
  5. Step 5: Solve for x
    x = 37,759,416,794.88/256,097.60
  6. Step 6: Final answer
    x = 147,441.51

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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.