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Finding the Fourth Proportional to 317,050.83, 475,782.39 and 137,311.76

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Solution

The fourth proportional to 317,050.83, 475,782.39 and 137,311.76 is: 206,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,050.83 : 475,782.39 = 137,311.76 : x
  2. Step 2: Convert to fraction form
    317,050.83/475,782.39 = 137,311.76/x
  3. Step 3: Cross multiply
    317,050.83x = 475,782.39 × 137,311.76
  4. Step 4: Simplify right side
    317,050.83x = 65,330,518,537.36
  5. Step 5: Solve for x
    x = 65,330,518,537.36/317,050.83
  6. Step 6: Final answer
    x = 206,056.92

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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.