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Finding the Fourth Proportional to 200,950.32, 277,340.28 and 120,381.24

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Solution

The fourth proportional to 200,950.32, 277,340.28 and 120,381.24 is: 166,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,950.32 : 277,340.28 = 120,381.24 : x
  2. Step 2: Convert to fraction form
    200,950.32/277,340.28 = 120,381.24/x
  3. Step 3: Cross multiply
    200,950.32x = 277,340.28 × 120,381.24
  4. Step 4: Simplify right side
    200,950.32x = 33,386,566,808.35
  5. Step 5: Solve for x
    x = 33,386,566,808.35/200,950.32
  6. Step 6: Final answer
    x = 166,143.39

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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.