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Finding the Fourth Proportional to 139,802.28, 209,677.50 and 46,295.88

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Solution

The fourth proportional to 139,802.28, 209,677.50 and 46,295.88 is: 69,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,802.28 : 209,677.50 = 46,295.88 : x
  2. Step 2: Convert to fraction form
    139,802.28/209,677.50 = 46,295.88/x
  3. Step 3: Cross multiply
    139,802.28x = 209,677.50 × 46,295.88
  4. Step 4: Simplify right side
    139,802.28x = 9,707,204,378.70
  5. Step 5: Solve for x
    x = 9,707,204,378.70/139,802.28
  6. Step 6: Final answer
    x = 69,435.24

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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.