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Finding the Fourth Proportional to 308,901.10, 463,351.65 and 109,219.90

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Solution

The fourth proportional to 308,901.10, 463,351.65 and 109,219.90 is: 163,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,901.10 : 463,351.65 = 109,219.90 : x
  2. Step 2: Convert to fraction form
    308,901.10/463,351.65 = 109,219.90/x
  3. Step 3: Cross multiply
    308,901.10x = 463,351.65 × 109,219.90
  4. Step 4: Simplify right side
    308,901.10x = 50,607,220,877.84
  5. Step 5: Solve for x
    x = 50,607,220,877.84/308,901.10
  6. Step 6: Final answer
    x = 163,829.85

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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.