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Finding the Fourth Proportional to 178,143.65, 245,825.60 and 101,644.82

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Solution

The fourth proportional to 178,143.65, 245,825.60 and 101,644.82 is: 140,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,143.65 : 245,825.60 = 101,644.82 : x
  2. Step 2: Convert to fraction form
    178,143.65/245,825.60 = 101,644.82/x
  3. Step 3: Cross multiply
    178,143.65x = 245,825.60 × 101,644.82
  4. Step 4: Simplify right side
    178,143.65x = 24,986,898,969.73
  5. Step 5: Solve for x
    x = 24,986,898,969.73/178,143.65
  6. Step 6: Final answer
    x = 140,262.64

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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.