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Finding the Fourth Proportional to 204,929.95, 282,802.77 and 114,286.01

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Solution

The fourth proportional to 204,929.95, 282,802.77 and 114,286.01 is: 157,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,929.95 : 282,802.77 = 114,286.01 : x
  2. Step 2: Convert to fraction form
    204,929.95/282,802.77 = 114,286.01/x
  3. Step 3: Cross multiply
    204,929.95x = 282,802.77 × 114,286.01
  4. Step 4: Simplify right side
    204,929.95x = 32,320,400,200.25
  5. Step 5: Solve for x
    x = 32,320,400,200.25/204,929.95
  6. Step 6: Final answer
    x = 157,714.38

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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.