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Finding the Fourth Proportional to 137,580.09, 206,335.50 and 53,311.34

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Solution

The fourth proportional to 137,580.09, 206,335.50 and 53,311.34 is: 79,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.09 : 206,335.50 = 53,311.34 : x
  2. Step 2: Convert to fraction form
    137,580.09/206,335.50 = 53,311.34/x
  3. Step 3: Cross multiply
    137,580.09x = 206,335.50 × 53,311.34
  4. Step 4: Simplify right side
    137,580.09x = 11,000,020,962.89
  5. Step 5: Solve for x
    x = 11,000,020,962.89/137,580.09
  6. Step 6: Final answer
    x = 79,953.58

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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.