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Finding the Fourth Proportional to 205,034.94, 282,948.64 and 114,388.64

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Solution

The fourth proportional to 205,034.94, 282,948.64 and 114,388.64 is: 157,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.94 : 282,948.64 = 114,388.64 : x
  2. Step 2: Convert to fraction form
    205,034.94/282,948.64 = 114,388.64/x
  3. Step 3: Cross multiply
    205,034.94x = 282,948.64 × 114,388.64
  4. Step 4: Simplify right side
    205,034.94x = 32,366,110,119.45
  5. Step 5: Solve for x
    x = 32,366,110,119.45/205,034.94
  6. Step 6: Final answer
    x = 157,856.56

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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.