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Finding the Fourth Proportional to 256,089.69, 384,105.78 and 98,207.37

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Solution

The fourth proportional to 256,089.69, 384,105.78 and 98,207.37 is: 147,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,089.69 : 384,105.78 = 98,207.37 : x
  2. Step 2: Convert to fraction form
    256,089.69/384,105.78 = 98,207.37/x
  3. Step 3: Cross multiply
    256,089.69x = 384,105.78 × 98,207.37
  4. Step 4: Simplify right side
    256,089.69x = 37,722,018,455.60
  5. Step 5: Solve for x
    x = 37,722,018,455.60/256,089.69
  6. Step 6: Final answer
    x = 147,300.03

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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.