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Finding the Fourth Proportional to 265,891.84, 367,066.16 and 205,326.52

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Solution

The fourth proportional to 265,891.84, 367,066.16 and 205,326.52 is: 283,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.84 : 367,066.16 = 205,326.52 : x
  2. Step 2: Convert to fraction form
    265,891.84/367,066.16 = 205,326.52/x
  3. Step 3: Cross multiply
    265,891.84x = 367,066.16 × 205,326.52
  4. Step 4: Simplify right side
    265,891.84x = 75,368,417,242.56
  5. Step 5: Solve for x
    x = 75,368,417,242.56/265,891.84
  6. Step 6: Final answer
    x = 283,455.17

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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.