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Finding the Fourth Proportional to 154,702.65, 213,485.83 and 85,791.72

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Solution

The fourth proportional to 154,702.65, 213,485.83 and 85,791.72 is: 118,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.65 : 213,485.83 = 85,791.72 : x
  2. Step 2: Convert to fraction form
    154,702.65/213,485.83 = 85,791.72/x
  3. Step 3: Cross multiply
    154,702.65x = 213,485.83 × 85,791.72
  4. Step 4: Simplify right side
    154,702.65x = 18,315,317,137.42
  5. Step 5: Solve for x
    x = 18,315,317,137.42/154,702.65
  6. Step 6: Final answer
    x = 118,390.45

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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.