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Finding the Fourth Proportional to 200,754.68, 277,041.85 and 110,111.38

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Solution

The fourth proportional to 200,754.68, 277,041.85 and 110,111.38 is: 151,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.68 : 277,041.85 = 110,111.38 : x
  2. Step 2: Convert to fraction form
    200,754.68/277,041.85 = 110,111.38/x
  3. Step 3: Cross multiply
    200,754.68x = 277,041.85 × 110,111.38
  4. Step 4: Simplify right side
    200,754.68x = 30,505,459,453.37
  5. Step 5: Solve for x
    x = 30,505,459,453.37/200,754.68
  6. Step 6: Final answer
    x = 151,953.92

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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.