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Finding the Fourth Proportional to 308,047.40, 462,114.84 and 94,833.06

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Solution

The fourth proportional to 308,047.40, 462,114.84 and 94,833.06 is: 142,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.40 : 462,114.84 = 94,833.06 : x
  2. Step 2: Convert to fraction form
    308,047.40/462,114.84 = 94,833.06/x
  3. Step 3: Cross multiply
    308,047.40x = 462,114.84 × 94,833.06
  4. Step 4: Simplify right side
    308,047.40x = 43,823,764,348.61
  5. Step 5: Solve for x
    x = 43,823,764,348.61/308,047.40
  6. Step 6: Final answer
    x = 142,263.06

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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.