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Finding the Fourth Proportional to 137,700, 206,537.04 and 44,206.56

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Solution

The fourth proportional to 137,700, 206,537.04 and 44,206.56 is: 66,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700 : 206,537.04 = 44,206.56 : x
  2. Step 2: Convert to fraction form
    137,700/206,537.04 = 44,206.56/x
  3. Step 3: Cross multiply
    137,700x = 206,537.04 × 44,206.56
  4. Step 4: Simplify right side
    137,700x = 9,130,292,050.98
  5. Step 5: Solve for x
    x = 9,130,292,050.98/137,700
  6. Step 6: Final answer
    x = 66,305.68

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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.