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Finding the Fourth Proportional to 308,897.73, 463,359.53 and 109,219.77

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Solution

The fourth proportional to 308,897.73, 463,359.53 and 109,219.77 is: 163,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,897.73 : 463,359.53 = 109,219.77 : x
  2. Step 2: Convert to fraction form
    308,897.73/463,359.53 = 109,219.77/x
  3. Step 3: Cross multiply
    308,897.73x = 463,359.53 × 109,219.77
  4. Step 4: Simplify right side
    308,897.73x = 50,608,021,566.96
  5. Step 5: Solve for x
    x = 50,608,021,566.96/308,897.73
  6. Step 6: Final answer
    x = 163,834.23

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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.