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Finding the Fourth Proportional to 178,235.02, 245,964.17 and 97,667.56

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Solution

The fourth proportional to 178,235.02, 245,964.17 and 97,667.56 is: 134,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,235.02 : 245,964.17 = 97,667.56 : x
  2. Step 2: Convert to fraction form
    178,235.02/245,964.17 = 97,667.56/x
  3. Step 3: Cross multiply
    178,235.02x = 245,964.17 × 97,667.56
  4. Step 4: Simplify right side
    178,235.02x = 24,022,720,331.33
  5. Step 5: Solve for x
    x = 24,022,720,331.33/178,235.02
  6. Step 6: Final answer
    x = 134,781.15

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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.