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Finding the Fourth Proportional to 317,317.49, 475,977.72 and 106,957.25

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Solution

The fourth proportional to 317,317.49, 475,977.72 and 106,957.25 is: 160,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,317.49 : 475,977.72 = 106,957.25 : x
  2. Step 2: Convert to fraction form
    317,317.49/475,977.72 = 106,957.25/x
  3. Step 3: Cross multiply
    317,317.49x = 475,977.72 × 106,957.25
  4. Step 4: Simplify right side
    317,317.49x = 50,909,267,992.47
  5. Step 5: Solve for x
    x = 50,909,267,992.47/317,317.49
  6. Step 6: Final answer
    x = 160,436.38

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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.