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Finding the Fourth Proportional to 178,046.86, 245,704.74 and 97,479.60

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Solution

The fourth proportional to 178,046.86, 245,704.74 and 97,479.60 is: 134,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,046.86 : 245,704.74 = 97,479.60 : x
  2. Step 2: Convert to fraction form
    178,046.86/245,704.74 = 97,479.60/x
  3. Step 3: Cross multiply
    178,046.86x = 245,704.74 × 97,479.60
  4. Step 4: Simplify right side
    178,046.86x = 23,951,200,416.77
  5. Step 5: Solve for x
    x = 23,951,200,416.77/178,046.86
  6. Step 6: Final answer
    x = 134,521.89

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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.