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Finding the Fourth Proportional to 200,732.80, 276,972 and 119,045.92

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Solution

The fourth proportional to 200,732.80, 276,972 and 119,045.92 is: 164,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732.80 : 276,972 = 119,045.92 : x
  2. Step 2: Convert to fraction form
    200,732.80/276,972 = 119,045.92/x
  3. Step 3: Cross multiply
    200,732.80x = 276,972 × 119,045.92
  4. Step 4: Simplify right side
    200,732.80x = 32,972,386,554.24
  5. Step 5: Solve for x
    x = 32,972,386,554.24/200,732.80
  6. Step 6: Final answer
    x = 164,260.08

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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.