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Finding the Fourth Proportional to 308,069.84, 462,101.10 and 97,709.60

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Solution

The fourth proportional to 308,069.84, 462,101.10 and 97,709.60 is: 146,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,069.84 : 462,101.10 = 97,709.60 : x
  2. Step 2: Convert to fraction form
    308,069.84/462,101.10 = 97,709.60/x
  3. Step 3: Cross multiply
    308,069.84x = 462,101.10 × 97,709.60
  4. Step 4: Simplify right side
    308,069.84x = 45,151,713,640.56
  5. Step 5: Solve for x
    x = 45,151,713,640.56/308,069.84
  6. Step 6: Final answer
    x = 146,563.24

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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.