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Finding the Fourth Proportional to 185,781.45, 256,424.30 and 105,256.45

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Solution

The fourth proportional to 185,781.45, 256,424.30 and 105,256.45 is: 145,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.45 : 256,424.30 = 105,256.45 : x
  2. Step 2: Convert to fraction form
    185,781.45/256,424.30 = 105,256.45/x
  3. Step 3: Cross multiply
    185,781.45x = 256,424.30 × 105,256.45
  4. Step 4: Simplify right side
    185,781.45x = 26,990,311,511.74
  5. Step 5: Solve for x
    x = 26,990,311,511.74/185,781.45
  6. Step 6: Final answer
    x = 145,279.91

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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.