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Finding the Fourth Proportional to 265,893.84, 367,068.93 and 205,328.52

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Solution

The fourth proportional to 265,893.84, 367,068.93 and 205,328.52 is: 283,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,893.84 : 367,068.93 = 205,328.52 : x
  2. Step 2: Convert to fraction form
    265,893.84/367,068.93 = 205,328.52/x
  3. Step 3: Cross multiply
    265,893.84x = 367,068.93 × 205,328.52
  4. Step 4: Simplify right side
    265,893.84x = 75,369,720,134.88
  5. Step 5: Solve for x
    x = 75,369,720,134.88/265,893.84
  6. Step 6: Final answer
    x = 283,457.94

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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.