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Finding the Fourth Proportional to 139,958.77, 209,938.16 and 46,464.52

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Solution

The fourth proportional to 139,958.77, 209,938.16 and 46,464.52 is: 69,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,958.77 : 209,938.16 = 46,464.52 : x
  2. Step 2: Convert to fraction form
    139,958.77/209,938.16 = 46,464.52/x
  3. Step 3: Cross multiply
    139,958.77x = 209,938.16 × 46,464.52
  4. Step 4: Simplify right side
    139,958.77x = 9,754,676,344.94
  5. Step 5: Solve for x
    x = 9,754,676,344.94/139,958.77
  6. Step 6: Final answer
    x = 69,696.78

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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.