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Finding the Fourth Proportional to 178,236.90, 245,967.30 and 97,662.78

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Solution

The fourth proportional to 178,236.90, 245,967.30 and 97,662.78 is: 134,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236.90 : 245,967.30 = 97,662.78 : x
  2. Step 2: Convert to fraction form
    178,236.90/245,967.30 = 97,662.78/x
  3. Step 3: Cross multiply
    178,236.90x = 245,967.30 × 97,662.78
  4. Step 4: Simplify right side
    178,236.90x = 24,021,850,307.09
  5. Step 5: Solve for x
    x = 24,021,850,307.09/178,236.90
  6. Step 6: Final answer
    x = 134,774.84

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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.