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Finding the Fourth Proportional to 178,216.45, 245,929.30 and 101,732.50

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Solution

The fourth proportional to 178,216.45, 245,929.30 and 101,732.50 is: 140,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,216.45 : 245,929.30 = 101,732.50 : x
  2. Step 2: Convert to fraction form
    178,216.45/245,929.30 = 101,732.50/x
  3. Step 3: Cross multiply
    178,216.45x = 245,929.30 × 101,732.50
  4. Step 4: Simplify right side
    178,216.45x = 25,019,002,696.58
  5. Step 5: Solve for x
    x = 25,019,002,696.58/178,216.45
  6. Step 6: Final answer
    x = 140,385.49

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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.