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Finding the Fourth Proportional to 237,835.50, 328,213 and 137,233.50

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Solution

The fourth proportional to 237,835.50, 328,213 and 137,233.50 is: 189,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,835.50 : 328,213 = 137,233.50 : x
  2. Step 2: Convert to fraction form
    237,835.50/328,213 = 137,233.50/x
  3. Step 3: Cross multiply
    237,835.50x = 328,213 × 137,233.50
  4. Step 4: Simplify right side
    237,835.50x = 45,041,818,735.50
  5. Step 5: Solve for x
    x = 45,041,818,735.50/237,835.50
  6. Step 6: Final answer
    x = 189,382.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.