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Finding the Fourth Proportional to 334,178.56, 501,333.42 and 147,190

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Solution

The fourth proportional to 334,178.56, 501,333.42 and 147,190 is: 220,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,178.56 : 501,333.42 = 147,190 : x
  2. Step 2: Convert to fraction form
    334,178.56/501,333.42 = 147,190/x
  3. Step 3: Cross multiply
    334,178.56x = 501,333.42 × 147,190
  4. Step 4: Simplify right side
    334,178.56x = 73,791,266,089.80
  5. Step 5: Solve for x
    x = 73,791,266,089.80/334,178.56
  6. Step 6: Final answer
    x = 220,813.88

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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.