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Finding the Fourth Proportional to 178,162.11, 245,867.25 and 97,589.64

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Solution

The fourth proportional to 178,162.11, 245,867.25 and 97,589.64 is: 134,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,162.11 : 245,867.25 = 97,589.64 : x
  2. Step 2: Convert to fraction form
    178,162.11/245,867.25 = 97,589.64/x
  3. Step 3: Cross multiply
    178,162.11x = 245,867.25 × 97,589.64
  4. Step 4: Simplify right side
    178,162.11x = 23,994,096,415.29
  5. Step 5: Solve for x
    x = 23,994,096,415.29/178,162.11
  6. Step 6: Final answer
    x = 134,675.64

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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.