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Finding the Fourth Proportional to 137,503.44, 206,570.96 and 97,069.92

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Solution

The fourth proportional to 137,503.44, 206,570.96 and 97,069.92 is: 145,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,503.44 : 206,570.96 = 97,069.92 : x
  2. Step 2: Convert to fraction form
    137,503.44/206,570.96 = 97,069.92/x
  3. Step 3: Cross multiply
    137,503.44x = 206,570.96 × 97,069.92
  4. Step 4: Simplify right side
    137,503.44x = 20,051,826,076.17
  5. Step 5: Solve for x
    x = 20,051,826,076.17/137,503.44
  6. Step 6: Final answer
    x = 145,827.81

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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.