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Finding the Fourth Proportional to 185,918, 256,525.80 and 105,338.48

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Solution

The fourth proportional to 185,918, 256,525.80 and 105,338.48 is: 145,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,918 : 256,525.80 = 105,338.48 : x
  2. Step 2: Convert to fraction form
    185,918/256,525.80 = 105,338.48/x
  3. Step 3: Cross multiply
    185,918x = 256,525.80 × 105,338.48
  4. Step 4: Simplify right side
    185,918x = 27,022,037,852.78
  5. Step 5: Solve for x
    x = 27,022,037,852.78/185,918
  6. Step 6: Final answer
    x = 145,343.85

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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.