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Finding the Fourth Proportional to 153,758, 212,187.70 and 85,774.44

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Solution

The fourth proportional to 153,758, 212,187.70 and 85,774.44 is: 118,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758 : 212,187.70 = 85,774.44 : x
  2. Step 2: Convert to fraction form
    153,758/212,187.70 = 85,774.44/x
  3. Step 3: Cross multiply
    153,758x = 212,187.70 × 85,774.44
  4. Step 4: Simplify right side
    153,758x = 18,200,281,142.39
  5. Step 5: Solve for x
    x = 18,200,281,142.39/153,758
  6. Step 6: Final answer
    x = 118,369.65

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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.