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Finding the Fourth Proportional to 200,787.36, 301,555.44 and 176,780.13

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Solution

The fourth proportional to 200,787.36, 301,555.44 and 176,780.13 is: 265,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,787.36 : 301,555.44 = 176,780.13 : x
  2. Step 2: Convert to fraction form
    200,787.36/301,555.44 = 176,780.13/x
  3. Step 3: Cross multiply
    200,787.36x = 301,555.44 × 176,780.13
  4. Step 4: Simplify right side
    200,787.36x = 53,309,009,885.41
  5. Step 5: Solve for x
    x = 53,309,009,885.41/200,787.36
  6. Step 6: Final answer
    x = 265,499.83

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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.