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Finding the Fourth Proportional to 178,365, 246,143.70 and 102,913.50

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Solution

The fourth proportional to 178,365, 246,143.70 and 102,913.50 is: 142,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,365 : 246,143.70 = 102,913.50 : x
  2. Step 2: Convert to fraction form
    178,365/246,143.70 = 102,913.50/x
  3. Step 3: Cross multiply
    178,365x = 246,143.70 × 102,913.50
  4. Step 4: Simplify right side
    178,365x = 25,331,509,669.95
  5. Step 5: Solve for x
    x = 25,331,509,669.95/178,365
  6. Step 6: Final answer
    x = 142,020.63

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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.