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Finding the Fourth Proportional to 308,165.66, 462,271.71 and 92,007.28

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Solution

The fourth proportional to 308,165.66, 462,271.71 and 92,007.28 is: 138,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,165.66 : 462,271.71 = 92,007.28 : x
  2. Step 2: Convert to fraction form
    308,165.66/462,271.71 = 92,007.28/x
  3. Step 3: Cross multiply
    308,165.66x = 462,271.71 × 92,007.28
  4. Step 4: Simplify right side
    308,165.66x = 42,532,362,658.05
  5. Step 5: Solve for x
    x = 42,532,362,658.05/308,165.66
  6. Step 6: Final answer
    x = 138,017.85

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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.