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Finding the Fourth Proportional to 200,895.29, 277,234.63 and 110,252.72

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Solution

The fourth proportional to 200,895.29, 277,234.63 and 110,252.72 is: 152,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.29 : 277,234.63 = 110,252.72 : x
  2. Step 2: Convert to fraction form
    200,895.29/277,234.63 = 110,252.72/x
  3. Step 3: Cross multiply
    200,895.29x = 277,234.63 × 110,252.72
  4. Step 4: Simplify right side
    200,895.29x = 30,565,872,035.69
  5. Step 5: Solve for x
    x = 30,565,872,035.69/200,895.29
  6. Step 6: Final answer
    x = 152,148.28

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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.