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Finding the Fourth Proportional to 259,026.94, 388,761.84 and 101,366.11

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Solution

The fourth proportional to 259,026.94, 388,761.84 and 101,366.11 is: 152,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,026.94 : 388,761.84 = 101,366.11 : x
  2. Step 2: Convert to fraction form
    259,026.94/388,761.84 = 101,366.11/x
  3. Step 3: Cross multiply
    259,026.94x = 388,761.84 × 101,366.11
  4. Step 4: Simplify right side
    259,026.94x = 39,407,274,465.34
  5. Step 5: Solve for x
    x = 39,407,274,465.34/259,026.94
  6. Step 6: Final answer
    x = 152,135.82

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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.