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Finding the Fourth Proportional to 250,937.19, 376,465.02 and 82,458

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Solution

The fourth proportional to 250,937.19, 376,465.02 and 82,458 is: 123,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,937.19 : 376,465.02 = 82,458 : x
  2. Step 2: Convert to fraction form
    250,937.19/376,465.02 = 82,458/x
  3. Step 3: Cross multiply
    250,937.19x = 376,465.02 × 82,458
  4. Step 4: Simplify right side
    250,937.19x = 31,042,552,309.94
  5. Step 5: Solve for x
    x = 31,042,552,309.94/250,937.19
  6. Step 6: Final answer
    x = 123,706.46

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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.