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Finding the Fourth Proportional to 154,827, 213,663.05 and 85,917.88

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Solution

The fourth proportional to 154,827, 213,663.05 and 85,917.88 is: 118,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,827 : 213,663.05 = 85,917.88 : x
  2. Step 2: Convert to fraction form
    154,827/213,663.05 = 85,917.88/x
  3. Step 3: Cross multiply
    154,827x = 213,663.05 × 85,917.88
  4. Step 4: Simplify right side
    154,827x = 18,357,476,290.33
  5. Step 5: Solve for x
    x = 18,357,476,290.33/154,827
  6. Step 6: Final answer
    x = 118,567.67

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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.