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Finding the Fourth Proportional to 317,302.10, 475,954.80 and 106,941.86

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Solution

The fourth proportional to 317,302.10, 475,954.80 and 106,941.86 is: 160,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,302.10 : 475,954.80 = 106,941.86 : x
  2. Step 2: Convert to fraction form
    317,302.10/475,954.80 = 106,941.86/x
  3. Step 3: Cross multiply
    317,302.10x = 475,954.80 × 106,941.86
  4. Step 4: Simplify right side
    317,302.10x = 50,899,491,587.93
  5. Step 5: Solve for x
    x = 50,899,491,587.93/317,302.10
  6. Step 6: Final answer
    x = 160,413.35

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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.