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Finding the Fourth Proportional to 137,823.30, 190,225.80 and 84,096.81

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Solution

The fourth proportional to 137,823.30, 190,225.80 and 84,096.81 is: 116,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,823.30 : 190,225.80 = 84,096.81 : x
  2. Step 2: Convert to fraction form
    137,823.30/190,225.80 = 84,096.81/x
  3. Step 3: Cross multiply
    137,823.30x = 190,225.80 × 84,096.81
  4. Step 4: Simplify right side
    137,823.30x = 15,997,382,959.70
  5. Step 5: Solve for x
    x = 15,997,382,959.70/137,823.30
  6. Step 6: Final answer
    x = 116,071.69

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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.