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Finding the Fourth Proportional to 153,002, 211,162.56 and 85,934

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Solution

The fourth proportional to 153,002, 211,162.56 and 85,934 is: 118,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,002 : 211,162.56 = 85,934 : x
  2. Step 2: Convert to fraction form
    153,002/211,162.56 = 85,934/x
  3. Step 3: Cross multiply
    153,002x = 211,162.56 × 85,934
  4. Step 4: Simplify right side
    153,002x = 18,146,043,431.04
  5. Step 5: Solve for x
    x = 18,146,043,431.04/153,002
  6. Step 6: Final answer
    x = 118,600.04

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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.