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Finding the Fourth Proportional to 157,049.88, 235,481.16 and 106,511.16

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Solution

The fourth proportional to 157,049.88, 235,481.16 and 106,511.16 is: 159,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,049.88 : 235,481.16 = 106,511.16 : x
  2. Step 2: Convert to fraction form
    157,049.88/235,481.16 = 106,511.16/x
  3. Step 3: Cross multiply
    157,049.88x = 235,481.16 × 106,511.16
  4. Step 4: Simplify right side
    157,049.88x = 25,081,371,509.75
  5. Step 5: Solve for x
    x = 25,081,371,509.75/157,049.88
  6. Step 6: Final answer
    x = 159,703.22

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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.