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Finding the Fourth Proportional to 278,783.41, 418,112.07 and 128,941.48

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Solution

The fourth proportional to 278,783.41, 418,112.07 and 128,941.48 is: 193,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,783.41 : 418,112.07 = 128,941.48 : x
  2. Step 2: Convert to fraction form
    278,783.41/418,112.07 = 128,941.48/x
  3. Step 3: Cross multiply
    278,783.41x = 418,112.07 × 128,941.48
  4. Step 4: Simplify right side
    278,783.41x = 53,911,989,111.66
  5. Step 5: Solve for x
    x = 53,911,989,111.66/278,783.41
  6. Step 6: Final answer
    x = 193,383.06

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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.