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Finding the Fourth Proportional to 256,094.60, 384,141.90 and 193,886.60

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Solution

The fourth proportional to 256,094.60, 384,141.90 and 193,886.60 is: 290,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.60 : 384,141.90 = 193,886.60 : x
  2. Step 2: Convert to fraction form
    256,094.60/384,141.90 = 193,886.60/x
  3. Step 3: Cross multiply
    256,094.60x = 384,141.90 × 193,886.60
  4. Step 4: Simplify right side
    256,094.60x = 74,479,966,908.54
  5. Step 5: Solve for x
    x = 74,479,966,908.54/256,094.60
  6. Step 6: Final answer
    x = 290,829.90

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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.