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Finding the Fourth Proportional to 137,380, 205,994.22 and 42,583.90

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Solution

The fourth proportional to 137,380, 205,994.22 and 42,583.90 is: 63,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380 : 205,994.22 = 42,583.90 : x
  2. Step 2: Convert to fraction form
    137,380/205,994.22 = 42,583.90/x
  3. Step 3: Cross multiply
    137,380x = 205,994.22 × 42,583.90
  4. Step 4: Simplify right side
    137,380x = 8,772,037,265.06
  5. Step 5: Solve for x
    x = 8,772,037,265.06/137,380
  6. Step 6: Final answer
    x = 63,852.36

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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.