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Finding the Fourth Proportional to 525,082.23, 787,761.05 and 165,238.11

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Solution

The fourth proportional to 525,082.23, 787,761.05 and 165,238.11 is: 247,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,082.23 : 787,761.05 = 165,238.11 : x
  2. Step 2: Convert to fraction form
    525,082.23/787,761.05 = 165,238.11/x
  3. Step 3: Cross multiply
    525,082.23x = 787,761.05 × 165,238.11
  4. Step 4: Simplify right side
    525,082.23x = 130,168,146,207.43
  5. Step 5: Solve for x
    x = 130,168,146,207.43/525,082.23
  6. Step 6: Final answer
    x = 247,900.50

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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.