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Finding the Fourth Proportional to 185,758.02, 256,347.05 and 105,201.22

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Solution

The fourth proportional to 185,758.02, 256,347.05 and 105,201.22 is: 145,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,758.02 : 256,347.05 = 105,201.22 : x
  2. Step 2: Convert to fraction form
    185,758.02/256,347.05 = 105,201.22/x
  3. Step 3: Cross multiply
    185,758.02x = 256,347.05 × 105,201.22
  4. Step 4: Simplify right side
    185,758.02x = 26,968,022,403.40
  5. Step 5: Solve for x
    x = 26,968,022,403.40/185,758.02
  6. Step 6: Final answer
    x = 145,178.24

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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.