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Finding the Fourth Proportional to 221,079.44, 305,095.56 and 120,483.92

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Solution

The fourth proportional to 221,079.44, 305,095.56 and 120,483.92 is: 166,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,079.44 : 305,095.56 = 120,483.92 : x
  2. Step 2: Convert to fraction form
    221,079.44/305,095.56 = 120,483.92/x
  3. Step 3: Cross multiply
    221,079.44x = 305,095.56 × 120,483.92
  4. Step 4: Simplify right side
    221,079.44x = 36,759,109,043.40
  5. Step 5: Solve for x
    x = 36,759,109,043.40/221,079.44
  6. Step 6: Final answer
    x = 166,271.04

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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.