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Finding the Fourth Proportional to 150,509.76, 207,701.87 and 82,526.52

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Solution

The fourth proportional to 150,509.76, 207,701.87 and 82,526.52 is: 113,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509.76 : 207,701.87 = 82,526.52 : x
  2. Step 2: Convert to fraction form
    150,509.76/207,701.87 = 82,526.52/x
  3. Step 3: Cross multiply
    150,509.76x = 207,701.87 × 82,526.52
  4. Step 4: Simplify right side
    150,509.76x = 17,140,912,115.96
  5. Step 5: Solve for x
    x = 17,140,912,115.96/150,509.76
  6. Step 6: Final answer
    x = 113,885.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.