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Finding the Fourth Proportional to 187,103.64, 280,865.80 and 74,863.06

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Solution

The fourth proportional to 187,103.64, 280,865.80 and 74,863.06 is: 112,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,103.64 : 280,865.80 = 74,863.06 : x
  2. Step 2: Convert to fraction form
    187,103.64/280,865.80 = 74,863.06/x
  3. Step 3: Cross multiply
    187,103.64x = 280,865.80 × 74,863.06
  4. Step 4: Simplify right side
    187,103.64x = 21,026,473,237.35
  5. Step 5: Solve for x
    x = 21,026,473,237.35/187,103.64
  6. Step 6: Final answer
    x = 112,378.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.