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Finding the Fourth Proportional to 178,187.97, 245,899.40 and 106,568.00

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Solution

The fourth proportional to 178,187.97, 245,899.40 and 106,568.00 is: 147,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,187.97 : 245,899.40 = 106,568.00 : x
  2. Step 2: Convert to fraction form
    178,187.97/245,899.40 = 106,568.00/x
  3. Step 3: Cross multiply
    178,187.97x = 245,899.40 × 106,568.00
  4. Step 4: Simplify right side
    178,187.97x = 26,205,005,496.86
  5. Step 5: Solve for x
    x = 26,205,005,496.86/178,187.97
  6. Step 6: Final answer
    x = 147,063.83

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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.