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Finding the Fourth Proportional to 265,348.80, 365,900.72 and 204,929.28

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Solution

The fourth proportional to 265,348.80, 365,900.72 and 204,929.28 is: 282,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,348.80 : 365,900.72 = 204,929.28 : x
  2. Step 2: Convert to fraction form
    265,348.80/365,900.72 = 204,929.28/x
  3. Step 3: Cross multiply
    265,348.80x = 365,900.72 × 204,929.28
  4. Step 4: Simplify right side
    265,348.80x = 74,983,771,101.08
  5. Step 5: Solve for x
    x = 74,983,771,101.08/265,348.80
  6. Step 6: Final answer
    x = 282,585.68

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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.