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Finding the Fourth Proportional to 178,938, 246,934.96 and 102,458.28

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Solution

The fourth proportional to 178,938, 246,934.96 and 102,458.28 is: 141,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,938 : 246,934.96 = 102,458.28 : x
  2. Step 2: Convert to fraction form
    178,938/246,934.96 = 102,458.28/x
  3. Step 3: Cross multiply
    178,938x = 246,934.96 × 102,458.28
  4. Step 4: Simplify right side
    178,938x = 25,300,531,273.47
  5. Step 5: Solve for x
    x = 25,300,531,273.47/178,938
  6. Step 6: Final answer
    x = 141,392.72

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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.