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Finding the Fourth Proportional to 200,945.52, 277,178.68 and 119,215.91

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Solution

The fourth proportional to 200,945.52, 277,178.68 and 119,215.91 is: 164,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,945.52 : 277,178.68 = 119,215.91 : x
  2. Step 2: Convert to fraction form
    200,945.52/277,178.68 = 119,215.91/x
  3. Step 3: Cross multiply
    200,945.52x = 277,178.68 × 119,215.91
  4. Step 4: Simplify right side
    200,945.52x = 33,044,108,963.71
  5. Step 5: Solve for x
    x = 33,044,108,963.71/200,945.52
  6. Step 6: Final answer
    x = 164,443.12

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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.