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Finding the Fourth Proportional to 317,175.12, 475,761 and 148,813.32

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Solution

The fourth proportional to 317,175.12, 475,761 and 148,813.32 is: 223,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,175.12 : 475,761 = 148,813.32 : x
  2. Step 2: Convert to fraction form
    317,175.12/475,761 = 148,813.32/x
  3. Step 3: Cross multiply
    317,175.12x = 475,761 × 148,813.32
  4. Step 4: Simplify right side
    317,175.12x = 70,799,573,936.52
  5. Step 5: Solve for x
    x = 70,799,573,936.52/317,175.12
  6. Step 6: Final answer
    x = 223,219.19

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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.