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Finding the Fourth Proportional to 135,102.84, 186,457.74 and 112,401.78

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Solution

The fourth proportional to 135,102.84, 186,457.74 and 112,401.78 is: 155,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,102.84 : 186,457.74 = 112,401.78 : x
  2. Step 2: Convert to fraction form
    135,102.84/186,457.74 = 112,401.78/x
  3. Step 3: Cross multiply
    135,102.84x = 186,457.74 × 112,401.78
  4. Step 4: Simplify right side
    135,102.84x = 20,958,181,870.78
  5. Step 5: Solve for x
    x = 20,958,181,870.78/135,102.84
  6. Step 6: Final answer
    x = 155,127.62

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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.