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Finding the Fourth Proportional to 139,796.28, 209,696.85 and 46,304.46

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Solution

The fourth proportional to 139,796.28, 209,696.85 and 46,304.46 is: 69,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,796.28 : 209,696.85 = 46,304.46 : x
  2. Step 2: Convert to fraction form
    139,796.28/209,696.85 = 46,304.46/x
  3. Step 3: Cross multiply
    139,796.28x = 209,696.85 × 46,304.46
  4. Step 4: Simplify right side
    139,796.28x = 9,709,899,402.95
  5. Step 5: Solve for x
    x = 9,709,899,402.95/139,796.28
  6. Step 6: Final answer
    x = 69,457.49

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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.