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Finding the Fourth Proportional to 308,155.57, 462,233.36 and 83,516.02

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Solution

The fourth proportional to 308,155.57, 462,233.36 and 83,516.02 is: 125,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,155.57 : 462,233.36 = 83,516.02 : x
  2. Step 2: Convert to fraction form
    308,155.57/462,233.36 = 83,516.02/x
  3. Step 3: Cross multiply
    308,155.57x = 462,233.36 × 83,516.02
  4. Step 4: Simplify right side
    308,155.57x = 38,603,889,591.63
  5. Step 5: Solve for x
    x = 38,603,889,591.63/308,155.57
  6. Step 6: Final answer
    x = 125,274.03

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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.