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Finding the Fourth Proportional to 137,957.98, 206,769.57 and 97,913.74

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Solution

The fourth proportional to 137,957.98, 206,769.57 and 97,913.74 is: 146,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,957.98 : 206,769.57 = 97,913.74 : x
  2. Step 2: Convert to fraction form
    137,957.98/206,769.57 = 97,913.74/x
  3. Step 3: Cross multiply
    137,957.98x = 206,769.57 × 97,913.74
  4. Step 4: Simplify right side
    137,957.98x = 20,245,581,916.89
  5. Step 5: Solve for x
    x = 20,245,581,916.89/137,957.98
  6. Step 6: Final answer
    x = 146,751.80

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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.