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Finding the Fourth Proportional to 169,342.92, 254,063.76 and 75,826.80

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Solution

The fourth proportional to 169,342.92, 254,063.76 and 75,826.80 is: 113,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,342.92 : 254,063.76 = 75,826.80 : x
  2. Step 2: Convert to fraction form
    169,342.92/254,063.76 = 75,826.80/x
  3. Step 3: Cross multiply
    169,342.92x = 254,063.76 × 75,826.80
  4. Step 4: Simplify right side
    169,342.92x = 19,264,841,916.77
  5. Step 5: Solve for x
    x = 19,264,841,916.77/169,342.92
  6. Step 6: Final answer
    x = 113,762.31

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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.