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Finding the Fourth Proportional to 251,901.97, 377,973.93 and 157,107.82

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Solution

The fourth proportional to 251,901.97, 377,973.93 and 157,107.82 is: 235,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,901.97 : 377,973.93 = 157,107.82 : x
  2. Step 2: Convert to fraction form
    251,901.97/377,973.93 = 157,107.82/x
  3. Step 3: Cross multiply
    251,901.97x = 377,973.93 × 157,107.82
  4. Step 4: Simplify right side
    251,901.97x = 59,382,660,042.45
  5. Step 5: Solve for x
    x = 59,382,660,042.45/251,901.97
  6. Step 6: Final answer
    x = 235,737.18

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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.