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Finding the Fourth Proportional to 153,808.92, 212,256 and 85,821.75

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Solution

The fourth proportional to 153,808.92, 212,256 and 85,821.75 is: 118,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,808.92 : 212,256 = 85,821.75 : x
  2. Step 2: Convert to fraction form
    153,808.92/212,256 = 85,821.75/x
  3. Step 3: Cross multiply
    153,808.92x = 212,256 × 85,821.75
  4. Step 4: Simplify right side
    153,808.92x = 18,216,181,368
  5. Step 5: Solve for x
    x = 18,216,181,368/153,808.92
  6. Step 6: Final answer
    x = 118,433.84

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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.