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Finding the Fourth Proportional to 148,289.04, 204,656.04 and 84,636

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Solution

The fourth proportional to 148,289.04, 204,656.04 and 84,636 is: 116,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,289.04 : 204,656.04 = 84,636 : x
  2. Step 2: Convert to fraction form
    148,289.04/204,656.04 = 84,636/x
  3. Step 3: Cross multiply
    148,289.04x = 204,656.04 × 84,636
  4. Step 4: Simplify right side
    148,289.04x = 17,321,268,601.44
  5. Step 5: Solve for x
    x = 17,321,268,601.44/148,289.04
  6. Step 6: Final answer
    x = 116,807.48

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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.