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Finding the Fourth Proportional to 160,214.33, 240,464.05 and 85,396.25

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Solution

The fourth proportional to 160,214.33, 240,464.05 and 85,396.25 is: 128,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,214.33 : 240,464.05 = 85,396.25 : x
  2. Step 2: Convert to fraction form
    160,214.33/240,464.05 = 85,396.25/x
  3. Step 3: Cross multiply
    160,214.33x = 240,464.05 × 85,396.25
  4. Step 4: Simplify right side
    160,214.33x = 20,534,726,714.00
  5. Step 5: Solve for x
    x = 20,534,726,714.00/160,214.33
  6. Step 6: Final answer
    x = 128,170.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.