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Finding the Fourth Proportional to 185,707.17, 256,271.69 and 109,211.37

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Solution

The fourth proportional to 185,707.17, 256,271.69 and 109,211.37 is: 150,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,707.17 : 256,271.69 = 109,211.37 : x
  2. Step 2: Convert to fraction form
    185,707.17/256,271.69 = 109,211.37/x
  3. Step 3: Cross multiply
    185,707.17x = 256,271.69 × 109,211.37
  4. Step 4: Simplify right side
    185,707.17x = 27,987,781,811.06
  5. Step 5: Solve for x
    x = 27,987,781,811.06/185,707.17
  6. Step 6: Final answer
    x = 150,709.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.