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Finding the Fourth Proportional to 137,825.64, 190,099.98 and 126,531

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Solution

The fourth proportional to 137,825.64, 190,099.98 and 126,531 is: 174,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,825.64 : 190,099.98 = 126,531 : x
  2. Step 2: Convert to fraction form
    137,825.64/190,099.98 = 126,531/x
  3. Step 3: Cross multiply
    137,825.64x = 190,099.98 × 126,531
  4. Step 4: Simplify right side
    137,825.64x = 24,053,540,569.38
  5. Step 5: Solve for x
    x = 24,053,540,569.38/137,825.64
  6. Step 6: Final answer
    x = 174,521.52

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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.