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Finding the Fourth Proportional to 178,220.28, 245,937.86 and 106,563.08

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Solution

The fourth proportional to 178,220.28, 245,937.86 and 106,563.08 is: 147,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,220.28 : 245,937.86 = 106,563.08 : x
  2. Step 2: Convert to fraction form
    178,220.28/245,937.86 = 106,563.08/x
  3. Step 3: Cross multiply
    178,220.28x = 245,937.86 × 106,563.08
  4. Step 4: Simplify right side
    178,220.28x = 26,207,895,850.21
  5. Step 5: Solve for x
    x = 26,207,895,850.21/178,220.28
  6. Step 6: Final answer
    x = 147,053.39

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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.