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Finding the Fourth Proportional to 125,714, 173,485.32 and 75,429.20

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Solution

The fourth proportional to 125,714, 173,485.32 and 75,429.20 is: 104,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,714 : 173,485.32 = 75,429.20 : x
  2. Step 2: Convert to fraction form
    125,714/173,485.32 = 75,429.20/x
  3. Step 3: Cross multiply
    125,714x = 173,485.32 × 75,429.20
  4. Step 4: Simplify right side
    125,714x = 13,085,858,899.34
  5. Step 5: Solve for x
    x = 13,085,858,899.34/125,714
  6. Step 6: Final answer
    x = 104,092.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.