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Finding the Fourth Proportional to 152,031.50, 227,950.65 and 133,349.05

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Solution

The fourth proportional to 152,031.50, 227,950.65 and 133,349.05 is: 199,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.50 : 227,950.65 = 133,349.05 : x
  2. Step 2: Convert to fraction form
    152,031.50/227,950.65 = 133,349.05/x
  3. Step 3: Cross multiply
    152,031.50x = 227,950.65 × 133,349.05
  4. Step 4: Simplify right side
    152,031.50x = 30,397,000,817.88
  5. Step 5: Solve for x
    x = 30,397,000,817.88/152,031.50
  6. Step 6: Final answer
    x = 199,938.84

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