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Finding the Fourth Proportional to 200,775.65, 277,079.09 and 120,187.58

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Solution

The fourth proportional to 200,775.65, 277,079.09 and 120,187.58 is: 165,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,775.65 : 277,079.09 = 120,187.58 : x
  2. Step 2: Convert to fraction form
    200,775.65/277,079.09 = 120,187.58/x
  3. Step 3: Cross multiply
    200,775.65x = 277,079.09 × 120,187.58
  4. Step 4: Simplify right side
    200,775.65x = 33,301,464,694.76
  5. Step 5: Solve for x
    x = 33,301,464,694.76/200,775.65
  6. Step 6: Final answer
    x = 165,864.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.