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Finding the Fourth Proportional to 106,991.10, 147,801.51 and 85,452.57

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Solution

The fourth proportional to 106,991.10, 147,801.51 and 85,452.57 is: 118,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,991.10 : 147,801.51 = 85,452.57 : x
  2. Step 2: Convert to fraction form
    106,991.10/147,801.51 = 85,452.57/x
  3. Step 3: Cross multiply
    106,991.10x = 147,801.51 × 85,452.57
  4. Step 4: Simplify right side
    106,991.10x = 12,630,018,879.38
  5. Step 5: Solve for x
    x = 12,630,018,879.38/106,991.10
  6. Step 6: Final answer
    x = 118,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.