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Finding the Fourth Proportional to 241,300.80, 361,951.20 and 146,822.40

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Solution

The fourth proportional to 241,300.80, 361,951.20 and 146,822.40 is: 220,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,300.80 : 361,951.20 = 146,822.40 : x
  2. Step 2: Convert to fraction form
    241,300.80/361,951.20 = 146,822.40/x
  3. Step 3: Cross multiply
    241,300.80x = 361,951.20 × 146,822.40
  4. Step 4: Simplify right side
    241,300.80x = 53,142,543,866.88
  5. Step 5: Solve for x
    x = 53,142,543,866.88/241,300.80
  6. Step 6: Final answer
    x = 220,233.60

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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.