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Finding the Fourth Proportional to 125,820, 188,759.16 and 42,714

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Solution

The fourth proportional to 125,820, 188,759.16 and 42,714 is: 64,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,820 : 188,759.16 = 42,714 : x
  2. Step 2: Convert to fraction form
    125,820/188,759.16 = 42,714/x
  3. Step 3: Cross multiply
    125,820x = 188,759.16 × 42,714
  4. Step 4: Simplify right side
    125,820x = 8,062,658,760.24
  5. Step 5: Solve for x
    x = 8,062,658,760.24/125,820
  6. Step 6: Final answer
    x = 64,080.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.