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Finding the Fourth Proportional to 137,802.54, 190,188.30 and 84,118.80

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Solution

The fourth proportional to 137,802.54, 190,188.30 and 84,118.80 is: 116,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.54 : 190,188.30 = 84,118.80 : x
  2. Step 2: Convert to fraction form
    137,802.54/190,188.30 = 84,118.80/x
  3. Step 3: Cross multiply
    137,802.54x = 190,188.30 × 84,118.80
  4. Step 4: Simplify right side
    137,802.54x = 15,998,411,570.04
  5. Step 5: Solve for x
    x = 15,998,411,570.04/137,802.54
  6. Step 6: Final answer
    x = 116,096.64

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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.