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Finding the Fourth Proportional to 308,981.94, 463,537.98 and 106,596.42

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Solution

The fourth proportional to 308,981.94, 463,537.98 and 106,596.42 is: 159,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,981.94 : 463,537.98 = 106,596.42 : x
  2. Step 2: Convert to fraction form
    308,981.94/463,537.98 = 106,596.42/x
  3. Step 3: Cross multiply
    308,981.94x = 463,537.98 × 106,596.42
  4. Step 4: Simplify right side
    308,981.94x = 49,411,489,202.03
  5. Step 5: Solve for x
    x = 49,411,489,202.03/308,981.94
  6. Step 6: Final answer
    x = 159,917.08

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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.