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Finding the Fourth Proportional to 241,405.70, 361,878.15 and 188,068.10

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Solution

The fourth proportional to 241,405.70, 361,878.15 and 188,068.10 is: 281,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405.70 : 361,878.15 = 188,068.10 : x
  2. Step 2: Convert to fraction form
    241,405.70/361,878.15 = 188,068.10/x
  3. Step 3: Cross multiply
    241,405.70x = 361,878.15 × 188,068.10
  4. Step 4: Simplify right side
    241,405.70x = 68,057,736,102.02
  5. Step 5: Solve for x
    x = 68,057,736,102.02/241,405.70
  6. Step 6: Final answer
    x = 281,922.66

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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.