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Finding the Fourth Proportional to 308,803.59, 463,242.74 and 109,083.10

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Solution

The fourth proportional to 308,803.59, 463,242.74 and 109,083.10 is: 163,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,803.59 : 463,242.74 = 109,083.10 : x
  2. Step 2: Convert to fraction form
    308,803.59/463,242.74 = 109,083.10/x
  3. Step 3: Cross multiply
    308,803.59x = 463,242.74 × 109,083.10
  4. Step 4: Simplify right side
    308,803.59x = 50,531,953,586.28
  5. Step 5: Solve for x
    x = 50,531,953,586.28/308,803.59
  6. Step 6: Final answer
    x = 163,637.85

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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.