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Finding the Fourth Proportional to 308,751.09, 463,061.84 and 87,083.25

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Solution

The fourth proportional to 308,751.09, 463,061.84 and 87,083.25 is: 130,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,751.09 : 463,061.84 = 87,083.25 : x
  2. Step 2: Convert to fraction form
    308,751.09/463,061.84 = 87,083.25/x
  3. Step 3: Cross multiply
    308,751.09x = 463,061.84 × 87,083.25
  4. Step 4: Simplify right side
    308,751.09x = 40,324,929,542.76
  5. Step 5: Solve for x
    x = 40,324,929,542.76/308,751.09
  6. Step 6: Final answer
    x = 130,606.60

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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.