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Finding the Fourth Proportional to 208,520.51, 312,593.49 and 101,844.11

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Solution

The fourth proportional to 208,520.51, 312,593.49 and 101,844.11 is: 152,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.51 : 312,593.49 = 101,844.11 : x
  2. Step 2: Convert to fraction form
    208,520.51/312,593.49 = 101,844.11/x
  3. Step 3: Cross multiply
    208,520.51x = 312,593.49 × 101,844.11
  4. Step 4: Simplify right side
    208,520.51x = 31,835,806,562.33
  5. Step 5: Solve for x
    x = 31,835,806,562.33/208,520.51
  6. Step 6: Final answer
    x = 152,674.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.