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Finding the Fourth Proportional to 204,951.60, 282,840.24 and 118,904.07

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Solution

The fourth proportional to 204,951.60, 282,840.24 and 118,904.07 is: 164,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951.60 : 282,840.24 = 118,904.07 : x
  2. Step 2: Convert to fraction form
    204,951.60/282,840.24 = 118,904.07/x
  3. Step 3: Cross multiply
    204,951.60x = 282,840.24 × 118,904.07
  4. Step 4: Simplify right side
    204,951.60x = 33,630,855,695.78
  5. Step 5: Solve for x
    x = 33,630,855,695.78/204,951.60
  6. Step 6: Final answer
    x = 164,091.70

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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.