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Finding the Fourth Proportional to 265,216.34, 365,746.89 and 204,691.12

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Solution

The fourth proportional to 265,216.34, 365,746.89 and 204,691.12 is: 282,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,216.34 : 365,746.89 = 204,691.12 : x
  2. Step 2: Convert to fraction form
    265,216.34/365,746.89 = 204,691.12/x
  3. Step 3: Cross multiply
    265,216.34x = 365,746.89 × 204,691.12
  4. Step 4: Simplify right side
    265,216.34x = 74,865,140,403.84
  5. Step 5: Solve for x
    x = 74,865,140,403.84/265,216.34
  6. Step 6: Final answer
    x = 282,279.51

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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.