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Finding the Fourth Proportional to 139,689.98, 209,567.50 and 39,851.54

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Solution

The fourth proportional to 139,689.98, 209,567.50 and 39,851.54 is: 59,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,689.98 : 209,567.50 = 39,851.54 : x
  2. Step 2: Convert to fraction form
    139,689.98/209,567.50 = 39,851.54/x
  3. Step 3: Cross multiply
    139,689.98x = 209,567.50 × 39,851.54
  4. Step 4: Simplify right side
    139,689.98x = 8,351,586,461.48
  5. Step 5: Solve for x
    x = 8,351,586,461.48/139,689.98
  6. Step 6: Final answer
    x = 59,786.58

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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.