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Finding the Fourth Proportional to 178,180.86, 245,893.50 and 101,698.41

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Solution

The fourth proportional to 178,180.86, 245,893.50 and 101,698.41 is: 140,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,180.86 : 245,893.50 = 101,698.41 : x
  2. Step 2: Convert to fraction form
    178,180.86/245,893.50 = 101,698.41/x
  3. Step 3: Cross multiply
    178,180.86x = 245,893.50 × 101,698.41
  4. Step 4: Simplify right side
    178,180.86x = 25,006,977,979.34
  5. Step 5: Solve for x
    x = 25,006,977,979.34/178,180.86
  6. Step 6: Final answer
    x = 140,346.04

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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.