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Finding the Fourth Proportional to 185,200.64, 255,576.90 and 100,317.70

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Solution

The fourth proportional to 185,200.64, 255,576.90 and 100,317.70 is: 138,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.64 : 255,576.90 = 100,317.70 : x
  2. Step 2: Convert to fraction form
    185,200.64/255,576.90 = 100,317.70/x
  3. Step 3: Cross multiply
    185,200.64x = 255,576.90 × 100,317.70
  4. Step 4: Simplify right side
    185,200.64x = 25,638,886,781.13
  5. Step 5: Solve for x
    x = 25,638,886,781.13/185,200.64
  6. Step 6: Final answer
    x = 138,438.44

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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.