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Finding the Fourth Proportional to 157,296.83, 235,748.21 and 123,884.94

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Solution

The fourth proportional to 157,296.83, 235,748.21 and 123,884.94 is: 185,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,296.83 : 235,748.21 = 123,884.94 : x
  2. Step 2: Convert to fraction form
    157,296.83/235,748.21 = 123,884.94/x
  3. Step 3: Cross multiply
    157,296.83x = 235,748.21 × 123,884.94
  4. Step 4: Simplify right side
    157,296.83x = 29,205,652,850.96
  5. Step 5: Solve for x
    x = 29,205,652,850.96/157,296.83
  6. Step 6: Final answer
    x = 185,672.23

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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.