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Finding the Fourth Proportional to 307,516.50, 461,352.51 and 85,900.50

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Solution

The fourth proportional to 307,516.50, 461,352.51 and 85,900.50 is: 128,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,516.50 : 461,352.51 = 85,900.50 : x
  2. Step 2: Convert to fraction form
    307,516.50/461,352.51 = 85,900.50/x
  3. Step 3: Cross multiply
    307,516.50x = 461,352.51 × 85,900.50
  4. Step 4: Simplify right side
    307,516.50x = 39,630,411,285.26
  5. Step 5: Solve for x
    x = 39,630,411,285.26/307,516.50
  6. Step 6: Final answer
    x = 128,872.47

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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.