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Finding the Fourth Proportional to 178,198.32, 245,904.90 and 97,626.24

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Solution

The fourth proportional to 178,198.32, 245,904.90 and 97,626.24 is: 134,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.32 : 245,904.90 = 97,626.24 : x
  2. Step 2: Convert to fraction form
    178,198.32/245,904.90 = 97,626.24/x
  3. Step 3: Cross multiply
    178,198.32x = 245,904.90 × 97,626.24
  4. Step 4: Simplify right side
    178,198.32x = 24,006,770,784.58
  5. Step 5: Solve for x
    x = 24,006,770,784.58/178,198.32
  6. Step 6: Final answer
    x = 134,719.40

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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.