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Finding the Fourth Proportional to 265,884.83, 367,056.51 and 205,319.51

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Solution

The fourth proportional to 265,884.83, 367,056.51 and 205,319.51 is: 283,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884.83 : 367,056.51 = 205,319.51 : x
  2. Step 2: Convert to fraction form
    265,884.83/367,056.51 = 205,319.51/x
  3. Step 3: Cross multiply
    265,884.83x = 367,056.51 × 205,319.51
  4. Step 4: Simplify right side
    265,884.83x = 75,363,862,701.66
  5. Step 5: Solve for x
    x = 75,363,862,701.66/265,884.83
  6. Step 6: Final answer
    x = 283,445.52

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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.