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Finding the Fourth Proportional to 179,461.40, 269,192.10 and 109,477.40

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Solution

The fourth proportional to 179,461.40, 269,192.10 and 109,477.40 is: 164,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,461.40 : 269,192.10 = 109,477.40 : x
  2. Step 2: Convert to fraction form
    179,461.40/269,192.10 = 109,477.40/x
  3. Step 3: Cross multiply
    179,461.40x = 269,192.10 × 109,477.40
  4. Step 4: Simplify right side
    179,461.40x = 29,470,451,208.54
  5. Step 5: Solve for x
    x = 29,470,451,208.54/179,461.40
  6. Step 6: Final answer
    x = 164,216.10

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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.