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Finding the Fourth Proportional to 178,181.54, 245,890.82 and 97,607.30

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Solution

The fourth proportional to 178,181.54, 245,890.82 and 97,607.30 is: 134,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,181.54 : 245,890.82 = 97,607.30 : x
  2. Step 2: Convert to fraction form
    178,181.54/245,890.82 = 97,607.30/x
  3. Step 3: Cross multiply
    178,181.54x = 245,890.82 × 97,607.30
  4. Step 4: Simplify right side
    178,181.54x = 24,000,737,317.50
  5. Step 5: Solve for x
    x = 24,000,737,317.50/178,181.54
  6. Step 6: Final answer
    x = 134,698.23

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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.