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Finding the Fourth Proportional to 137,154.21, 189,292.98 and 83,428.80

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Solution

The fourth proportional to 137,154.21, 189,292.98 and 83,428.80 is: 115,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.21 : 189,292.98 = 83,428.80 : x
  2. Step 2: Convert to fraction form
    137,154.21/189,292.98 = 83,428.80/x
  3. Step 3: Cross multiply
    137,154.21x = 189,292.98 × 83,428.80
  4. Step 4: Simplify right side
    137,154.21x = 15,792,486,169.82
  5. Step 5: Solve for x
    x = 15,792,486,169.82/137,154.21
  6. Step 6: Final answer
    x = 115,144.01

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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.