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Finding the Fourth Proportional to 197,465.45, 272,502.02 and 106,821.11

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Solution

The fourth proportional to 197,465.45, 272,502.02 and 106,821.11 is: 147,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,465.45 : 272,502.02 = 106,821.11 : x
  2. Step 2: Convert to fraction form
    197,465.45/272,502.02 = 106,821.11/x
  3. Step 3: Cross multiply
    197,465.45x = 272,502.02 × 106,821.11
  4. Step 4: Simplify right side
    197,465.45x = 29,108,969,201.95
  5. Step 5: Solve for x
    x = 29,108,969,201.95/197,465.45
  6. Step 6: Final answer
    x = 147,412.98

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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.