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Finding the Fourth Proportional to 265,883.78, 367,055.07 and 205,318.46

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Solution

The fourth proportional to 265,883.78, 367,055.07 and 205,318.46 is: 283,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.78 : 367,055.07 = 205,318.46 : x
  2. Step 2: Convert to fraction form
    265,883.78/367,055.07 = 205,318.46/x
  3. Step 3: Cross multiply
    265,883.78x = 367,055.07 × 205,318.46
  4. Step 4: Simplify right side
    265,883.78x = 75,363,180,681.00
  5. Step 5: Solve for x
    x = 75,363,180,681.00/265,883.78
  6. Step 6: Final answer
    x = 283,444.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.