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Finding the Fourth Proportional to 183,863.94, 253,743.08 and 138,461.82

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Solution

The fourth proportional to 183,863.94, 253,743.08 and 138,461.82 is: 191,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,863.94 : 253,743.08 = 138,461.82 : x
  2. Step 2: Convert to fraction form
    183,863.94/253,743.08 = 138,461.82/x
  3. Step 3: Cross multiply
    183,863.94x = 253,743.08 × 138,461.82
  4. Step 4: Simplify right side
    183,863.94x = 35,133,727,976.90
  5. Step 5: Solve for x
    x = 35,133,727,976.90/183,863.94
  6. Step 6: Final answer
    x = 191,085.47

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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.