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Finding the Fourth Proportional to 100,851.10, 151,211.85 and 41,710.30

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Solution

The fourth proportional to 100,851.10, 151,211.85 and 41,710.30 is: 62,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851.10 : 151,211.85 = 41,710.30 : x
  2. Step 2: Convert to fraction form
    100,851.10/151,211.85 = 41,710.30/x
  3. Step 3: Cross multiply
    100,851.10x = 151,211.85 × 41,710.30
  4. Step 4: Simplify right side
    100,851.10x = 6,307,091,627.06
  5. Step 5: Solve for x
    x = 6,307,091,627.06/100,851.10
  6. Step 6: Final answer
    x = 62,538.65

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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.