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Finding the Fourth Proportional to 178,178.86, 245,890.74 and 101,696.41

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Solution

The fourth proportional to 178,178.86, 245,890.74 and 101,696.41 is: 140,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,178.86 : 245,890.74 = 101,696.41 : x
  2. Step 2: Convert to fraction form
    178,178.86/245,890.74 = 101,696.41/x
  3. Step 3: Cross multiply
    178,178.86x = 245,890.74 × 101,696.41
  4. Step 4: Simplify right side
    178,178.86x = 25,006,205,510.24
  5. Step 5: Solve for x
    x = 25,006,205,510.24/178,178.86
  6. Step 6: Final answer
    x = 140,343.28

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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.