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Finding the Fourth Proportional to 178,211.94, 245,901.22 and 101,696.10

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Solution

The fourth proportional to 178,211.94, 245,901.22 and 101,696.10 is: 140,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,211.94 : 245,901.22 = 101,696.10 : x
  2. Step 2: Convert to fraction form
    178,211.94/245,901.22 = 101,696.10/x
  3. Step 3: Cross multiply
    178,211.94x = 245,901.22 × 101,696.10
  4. Step 4: Simplify right side
    178,211.94x = 25,007,194,805.00
  5. Step 5: Solve for x
    x = 25,007,194,805.00/178,211.94
  6. Step 6: Final answer
    x = 140,322.78

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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.