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Finding the Fourth Proportional to 301,930.52, 416,703.54 and 194,812.17

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Solution

The fourth proportional to 301,930.52, 416,703.54 and 194,812.17 is: 268,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,930.52 : 416,703.54 = 194,812.17 : x
  2. Step 2: Convert to fraction form
    301,930.52/416,703.54 = 194,812.17/x
  3. Step 3: Cross multiply
    301,930.52x = 416,703.54 × 194,812.17
  4. Step 4: Simplify right side
    301,930.52x = 81,178,920,874.08
  5. Step 5: Solve for x
    x = 81,178,920,874.08/301,930.52
  6. Step 6: Final answer
    x = 268,866.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.