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Finding the Fourth Proportional to 191,610.56, 287,317.14 and 102,938.60

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Solution

The fourth proportional to 191,610.56, 287,317.14 and 102,938.60 is: 154,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,610.56 : 287,317.14 = 102,938.60 : x
  2. Step 2: Convert to fraction form
    191,610.56/287,317.14 = 102,938.60/x
  3. Step 3: Cross multiply
    191,610.56x = 287,317.14 × 102,938.60
  4. Step 4: Simplify right side
    191,610.56x = 29,576,024,147.60
  5. Step 5: Solve for x
    x = 29,576,024,147.60/191,610.56
  6. Step 6: Final answer
    x = 154,354.88

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Why These Related Problems?

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