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Finding the Fourth Proportional to 139,544.76, 209,324.40 and 46,057.80

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Solution

The fourth proportional to 139,544.76, 209,324.40 and 46,057.80 is: 69,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,544.76 : 209,324.40 = 46,057.80 : x
  2. Step 2: Convert to fraction form
    139,544.76/209,324.40 = 46,057.80/x
  3. Step 3: Cross multiply
    139,544.76x = 209,324.40 × 46,057.80
  4. Step 4: Simplify right side
    139,544.76x = 9,641,021,350.32
  5. Step 5: Solve for x
    x = 9,641,021,350.32/139,544.76
  6. Step 6: Final answer
    x = 69,089.10

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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.