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Finding the Fourth Proportional to 189,714.26, 261,802.50 and 103,671.35

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Solution

The fourth proportional to 189,714.26, 261,802.50 and 103,671.35 is: 143,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.26 : 261,802.50 = 103,671.35 : x
  2. Step 2: Convert to fraction form
    189,714.26/261,802.50 = 103,671.35/x
  3. Step 3: Cross multiply
    189,714.26x = 261,802.50 × 103,671.35
  4. Step 4: Simplify right side
    189,714.26x = 27,141,418,608.38
  5. Step 5: Solve for x
    x = 27,141,418,608.38/189,714.26
  6. Step 6: Final answer
    x = 143,064.73

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Why These Related Problems?

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