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Finding the Fourth Proportional to 103,514.10, 155,160.42 and 53,543.90

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Solution

The fourth proportional to 103,514.10, 155,160.42 and 53,543.90 is: 80,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,514.10 : 155,160.42 = 53,543.90 : x
  2. Step 2: Convert to fraction form
    103,514.10/155,160.42 = 53,543.90/x
  3. Step 3: Cross multiply
    103,514.10x = 155,160.42 × 53,543.90
  4. Step 4: Simplify right side
    103,514.10x = 8,307,894,012.44
  5. Step 5: Solve for x
    x = 8,307,894,012.44/103,514.10
  6. Step 6: Final answer
    x = 80,258.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.