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Finding the Fourth Proportional to 200,737.61, 277,017.34 and 114,723.29

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Solution

The fourth proportional to 200,737.61, 277,017.34 and 114,723.29 is: 158,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737.61 : 277,017.34 = 114,723.29 : x
  2. Step 2: Convert to fraction form
    200,737.61/277,017.34 = 114,723.29/x
  3. Step 3: Cross multiply
    200,737.61x = 277,017.34 × 114,723.29
  4. Step 4: Simplify right side
    200,737.61x = 31,780,340,631.85
  5. Step 5: Solve for x
    x = 31,780,340,631.85/200,737.61
  6. Step 6: Final answer
    x = 158,317.82

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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.