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Finding the Fourth Proportional to 178,824, 246,781.56 and 98,256.74

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Solution

The fourth proportional to 178,824, 246,781.56 and 98,256.74 is: 135,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,824 : 246,781.56 = 98,256.74 : x
  2. Step 2: Convert to fraction form
    178,824/246,781.56 = 98,256.74/x
  3. Step 3: Cross multiply
    178,824x = 246,781.56 × 98,256.74
  4. Step 4: Simplify right side
    178,824x = 24,247,951,577.71
  5. Step 5: Solve for x
    x = 24,247,951,577.71/178,824
  6. Step 6: Final answer
    x = 135,596.74

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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.