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Finding the Fourth Proportional to 149,876.94, 224,926.13 and 70,991.16

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Solution

The fourth proportional to 149,876.94, 224,926.13 and 70,991.16 is: 106,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,876.94 : 224,926.13 = 70,991.16 : x
  2. Step 2: Convert to fraction form
    149,876.94/224,926.13 = 70,991.16/x
  3. Step 3: Cross multiply
    149,876.94x = 224,926.13 × 70,991.16
  4. Step 4: Simplify right side
    149,876.94x = 15,967,766,528.06
  5. Step 5: Solve for x
    x = 15,967,766,528.06/149,876.94
  6. Step 6: Final answer
    x = 106,539.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.