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Finding the Fourth Proportional to 200,776.65, 277,080.47 and 120,188.58

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Solution

The fourth proportional to 200,776.65, 277,080.47 and 120,188.58 is: 165,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,776.65 : 277,080.47 = 120,188.58 : x
  2. Step 2: Convert to fraction form
    200,776.65/277,080.47 = 120,188.58/x
  3. Step 3: Cross multiply
    200,776.65x = 277,080.47 × 120,188.58
  4. Step 4: Simplify right side
    200,776.65x = 33,301,908,235.03
  5. Step 5: Solve for x
    x = 33,301,908,235.03/200,776.65
  6. Step 6: Final answer
    x = 165,865.44

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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.