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Finding the Fourth Proportional to 256,998.90, 385,276.74 and 123,972.60

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Solution

The fourth proportional to 256,998.90, 385,276.74 and 123,972.60 is: 185,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.90 : 385,276.74 = 123,972.60 : x
  2. Step 2: Convert to fraction form
    256,998.90/385,276.74 = 123,972.60/x
  3. Step 3: Cross multiply
    256,998.90x = 385,276.74 × 123,972.60
  4. Step 4: Simplify right side
    256,998.90x = 47,763,759,177.32
  5. Step 5: Solve for x
    x = 47,763,759,177.32/256,998.90
  6. Step 6: Final answer
    x = 185,852.00

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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.