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Finding the Fourth Proportional to 191,014.70, 285,938.85 and 149,024.30

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Solution

The fourth proportional to 191,014.70, 285,938.85 and 149,024.30 is: 223,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,014.70 : 285,938.85 = 149,024.30 : x
  2. Step 2: Convert to fraction form
    191,014.70/285,938.85 = 149,024.30/x
  3. Step 3: Cross multiply
    191,014.70x = 285,938.85 × 149,024.30
  4. Step 4: Simplify right side
    191,014.70x = 42,611,836,964.06
  5. Step 5: Solve for x
    x = 42,611,836,964.06/191,014.70
  6. Step 6: Final answer
    x = 223,081.45

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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.