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Finding the Fourth Proportional to 157,903.89, 217,907.92 and 86,283.91

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Solution

The fourth proportional to 157,903.89, 217,907.92 and 86,283.91 is: 119,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903.89 : 217,907.92 = 86,283.91 : x
  2. Step 2: Convert to fraction form
    157,903.89/217,907.92 = 86,283.91/x
  3. Step 3: Cross multiply
    157,903.89x = 217,907.92 × 86,283.91
  4. Step 4: Simplify right side
    157,903.89x = 18,801,947,124.94
  5. Step 5: Solve for x
    x = 18,801,947,124.94/157,903.89
  6. Step 6: Final answer
    x = 119,072.10

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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.