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Finding the Fourth Proportional to 137,862.65, 190,258.08 and 84,132.16

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Solution

The fourth proportional to 137,862.65, 190,258.08 and 84,132.16 is: 116,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,862.65 : 190,258.08 = 84,132.16 : x
  2. Step 2: Convert to fraction form
    137,862.65/190,258.08 = 84,132.16/x
  3. Step 3: Cross multiply
    137,862.65x = 190,258.08 × 84,132.16
  4. Step 4: Simplify right side
    137,862.65x = 16,006,823,227.85
  5. Step 5: Solve for x
    x = 16,006,823,227.85/137,862.65
  6. Step 6: Final answer
    x = 116,107.03

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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.