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Finding the Fourth Proportional to 157,083.92, 235,575.96 and 51,883.28

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Solution

The fourth proportional to 157,083.92, 235,575.96 and 51,883.28 is: 77,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.92 : 235,575.96 = 51,883.28 : x
  2. Step 2: Convert to fraction form
    157,083.92/235,575.96 = 51,883.28/x
  3. Step 3: Cross multiply
    157,083.92x = 235,575.96 × 51,883.28
  4. Step 4: Simplify right side
    157,083.92x = 12,222,453,493.95
  5. Step 5: Solve for x
    x = 12,222,453,493.95/157,083.92
  6. Step 6: Final answer
    x = 77,808.43

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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.