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Finding the Fourth Proportional to 199,721.38, 275,488.95 and 151,869.82

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Solution

The fourth proportional to 199,721.38, 275,488.95 and 151,869.82 is: 209,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,721.38 : 275,488.95 = 151,869.82 : x
  2. Step 2: Convert to fraction form
    199,721.38/275,488.95 = 151,869.82/x
  3. Step 3: Cross multiply
    199,721.38x = 275,488.95 × 151,869.82
  4. Step 4: Simplify right side
    199,721.38x = 41,838,457,248.49
  5. Step 5: Solve for x
    x = 41,838,457,248.49/199,721.38
  6. Step 6: Final answer
    x = 209,484.12

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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.