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Finding the Fourth Proportional to 178,219.86, 245,934 and 101,735.91

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Solution

The fourth proportional to 178,219.86, 245,934 and 101,735.91 is: 140,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,219.86 : 245,934 = 101,735.91 : x
  2. Step 2: Convert to fraction form
    178,219.86/245,934 = 101,735.91/x
  3. Step 3: Cross multiply
    178,219.86x = 245,934 × 101,735.91
  4. Step 4: Simplify right side
    178,219.86x = 25,020,319,289.94
  5. Step 5: Solve for x
    x = 25,020,319,289.94/178,219.86
  6. Step 6: Final answer
    x = 140,390.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.