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Finding the Fourth Proportional to 178,594.74, 246,460.56 and 98,022.48

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Solution

The fourth proportional to 178,594.74, 246,460.56 and 98,022.48 is: 135,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,594.74 : 246,460.56 = 98,022.48 : x
  2. Step 2: Convert to fraction form
    178,594.74/246,460.56 = 98,022.48/x
  3. Step 3: Cross multiply
    178,594.74x = 246,460.56 × 98,022.48
  4. Step 4: Simplify right side
    178,594.74x = 24,158,675,313.39
  5. Step 5: Solve for x
    x = 24,158,675,313.39/178,594.74
  6. Step 6: Final answer
    x = 135,270.92

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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.