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Finding the Fourth Proportional to 137,817.60, 190,209 and 84,133.80

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Solution

The fourth proportional to 137,817.60, 190,209 and 84,133.80 is: 116,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,817.60 : 190,209 = 84,133.80 : x
  2. Step 2: Convert to fraction form
    137,817.60/190,209 = 84,133.80/x
  3. Step 3: Cross multiply
    137,817.60x = 190,209 × 84,133.80
  4. Step 4: Simplify right side
    137,817.60x = 16,003,005,964.20
  5. Step 5: Solve for x
    x = 16,003,005,964.20/137,817.60
  6. Step 6: Final answer
    x = 116,117.29

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