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Finding the Fourth Proportional to 147,804.66, 203,910.06 and 109,135.16

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Solution

The fourth proportional to 147,804.66, 203,910.06 and 109,135.16 is: 150,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.66 : 203,910.06 = 109,135.16 : x
  2. Step 2: Convert to fraction form
    147,804.66/203,910.06 = 109,135.16/x
  3. Step 3: Cross multiply
    147,804.66x = 203,910.06 × 109,135.16
  4. Step 4: Simplify right side
    147,804.66x = 22,253,757,023.71
  5. Step 5: Solve for x
    x = 22,253,757,023.71/147,804.66
  6. Step 6: Final answer
    x = 150,561.94

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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.