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Finding the Fourth Proportional to 201,406.80, 277,948.52 and 110,769.78

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Solution

The fourth proportional to 201,406.80, 277,948.52 and 110,769.78 is: 152,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.80 : 277,948.52 = 110,769.78 : x
  2. Step 2: Convert to fraction form
    201,406.80/277,948.52 = 110,769.78/x
  3. Step 3: Cross multiply
    201,406.80x = 277,948.52 × 110,769.78
  4. Step 4: Simplify right side
    201,406.80x = 30,788,296,411.73
  5. Step 5: Solve for x
    x = 30,788,296,411.73/201,406.80
  6. Step 6: Final answer
    x = 152,866.22

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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.