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Finding the Fourth Proportional to 199,477.54, 298,957.78 and 81,011.26

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Solution

The fourth proportional to 199,477.54, 298,957.78 and 81,011.26 is: 121,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,477.54 : 298,957.78 = 81,011.26 : x
  2. Step 2: Convert to fraction form
    199,477.54/298,957.78 = 81,011.26/x
  3. Step 3: Cross multiply
    199,477.54x = 298,957.78 × 81,011.26
  4. Step 4: Simplify right side
    199,477.54x = 24,218,946,444.60
  5. Step 5: Solve for x
    x = 24,218,946,444.60/199,477.54
  6. Step 6: Final answer
    x = 121,411.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.