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Finding the Fourth Proportional to 241,097.78, 361,727.06 and 160,363.09

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Solution

The fourth proportional to 241,097.78, 361,727.06 and 160,363.09 is: 240,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,097.78 : 361,727.06 = 160,363.09 : x
  2. Step 2: Convert to fraction form
    241,097.78/361,727.06 = 160,363.09/x
  3. Step 3: Cross multiply
    241,097.78x = 361,727.06 × 160,363.09
  4. Step 4: Simplify right side
    241,097.78x = 58,007,666,467.76
  5. Step 5: Solve for x
    x = 58,007,666,467.76/241,097.78
  6. Step 6: Final answer
    x = 240,598.10

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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.