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Finding the Fourth Proportional to 139,405.83, 209,108.36 and 39,566.12

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Solution

The fourth proportional to 139,405.83, 209,108.36 and 39,566.12 is: 59,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,405.83 : 209,108.36 = 39,566.12 : x
  2. Step 2: Convert to fraction form
    139,405.83/209,108.36 = 39,566.12/x
  3. Step 3: Cross multiply
    139,405.83x = 209,108.36 × 39,566.12
  4. Step 4: Simplify right side
    139,405.83x = 8,273,606,464.76
  5. Step 5: Solve for x
    x = 8,273,606,464.76/139,405.83
  6. Step 6: Final answer
    x = 59,349.07

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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.