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Finding the Fourth Proportional to 185,597.70, 256,110.72 and 109,119.90

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Solution

The fourth proportional to 185,597.70, 256,110.72 and 109,119.90 is: 150,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,597.70 : 256,110.72 = 109,119.90 : x
  2. Step 2: Convert to fraction form
    185,597.70/256,110.72 = 109,119.90/x
  3. Step 3: Cross multiply
    185,597.70x = 256,110.72 × 109,119.90
  4. Step 4: Simplify right side
    185,597.70x = 27,946,776,155.33
  5. Step 5: Solve for x
    x = 27,946,776,155.33/185,597.70
  6. Step 6: Final answer
    x = 150,577.17

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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.