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Finding the Fourth Proportional to 185,829.48, 256,447.44 and 105,255

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Solution

The fourth proportional to 185,829.48, 256,447.44 and 105,255 is: 145,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,829.48 : 256,447.44 = 105,255 : x
  2. Step 2: Convert to fraction form
    185,829.48/256,447.44 = 105,255/x
  3. Step 3: Cross multiply
    185,829.48x = 256,447.44 × 105,255
  4. Step 4: Simplify right side
    185,829.48x = 26,992,375,297.20
  5. Step 5: Solve for x
    x = 26,992,375,297.20/185,829.48
  6. Step 6: Final answer
    x = 145,253.46

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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.