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Finding the Fourth Proportional to 256,644.50, 384,962.49 and 76,730.33

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Solution

The fourth proportional to 256,644.50, 384,962.49 and 76,730.33 is: 115,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,644.50 : 384,962.49 = 76,730.33 : x
  2. Step 2: Convert to fraction form
    256,644.50/384,962.49 = 76,730.33/x
  3. Step 3: Cross multiply
    256,644.50x = 384,962.49 × 76,730.33
  4. Step 4: Simplify right side
    256,644.50x = 29,538,296,970.51
  5. Step 5: Solve for x
    x = 29,538,296,970.51/256,644.50
  6. Step 6: Final answer
    x = 115,094.22

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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.