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Finding the Fourth Proportional to 137,516.34, 206,274.70 and 37,677.40

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Solution

The fourth proportional to 137,516.34, 206,274.70 and 37,677.40 is: 56,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,516.34 : 206,274.70 = 37,677.40 : x
  2. Step 2: Convert to fraction form
    137,516.34/206,274.70 = 37,677.40/x
  3. Step 3: Cross multiply
    137,516.34x = 206,274.70 × 37,677.40
  4. Step 4: Simplify right side
    137,516.34x = 7,771,894,381.78
  5. Step 5: Solve for x
    x = 7,771,894,381.78/137,516.34
  6. Step 6: Final answer
    x = 56,516.15

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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.