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Finding the Fourth Proportional to 157,916.52, 217,924.26 and 86,296.98

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Solution

The fourth proportional to 157,916.52, 217,924.26 and 86,296.98 is: 119,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,916.52 : 217,924.26 = 86,296.98 : x
  2. Step 2: Convert to fraction form
    157,916.52/217,924.26 = 86,296.98/x
  3. Step 3: Cross multiply
    157,916.52x = 217,924.26 × 86,296.98
  4. Step 4: Simplify right side
    157,916.52x = 18,806,205,506.73
  5. Step 5: Solve for x
    x = 18,806,205,506.73/157,916.52
  6. Step 6: Final answer
    x = 119,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.