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Finding the Fourth Proportional to 178,222.94, 245,886.15 and 101,686.80

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Solution

The fourth proportional to 178,222.94, 245,886.15 and 101,686.80 is: 140,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,222.94 : 245,886.15 = 101,686.80 : x
  2. Step 2: Convert to fraction form
    178,222.94/245,886.15 = 101,686.80/x
  3. Step 3: Cross multiply
    178,222.94x = 245,886.15 × 101,686.80
  4. Step 4: Simplify right side
    178,222.94x = 25,003,375,757.82
  5. Step 5: Solve for x
    x = 25,003,375,757.82/178,222.94
  6. Step 6: Final answer
    x = 140,292.69

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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.