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Finding the Fourth Proportional to 138,694, 208,006.20 and 38,828.32

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Solution

The fourth proportional to 138,694, 208,006.20 and 38,828.32 is: 58,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694 : 208,006.20 = 38,828.32 : x
  2. Step 2: Convert to fraction form
    138,694/208,006.20 = 38,828.32/x
  3. Step 3: Cross multiply
    138,694x = 208,006.20 × 38,828.32
  4. Step 4: Simplify right side
    138,694x = 8,076,531,295.58
  5. Step 5: Solve for x
    x = 8,076,531,295.58/138,694
  6. Step 6: Final answer
    x = 58,232.74

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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.