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Finding the Fourth Proportional to 186,626.80, 279,938.92 and 46,385.20

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Solution

The fourth proportional to 186,626.80, 279,938.92 and 46,385.20 is: 69,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,626.80 : 279,938.92 = 46,385.20 : x
  2. Step 2: Convert to fraction form
    186,626.80/279,938.92 = 46,385.20/x
  3. Step 3: Cross multiply
    186,626.80x = 279,938.92 × 46,385.20
  4. Step 4: Simplify right side
    186,626.80x = 12,985,022,791.98
  5. Step 5: Solve for x
    x = 12,985,022,791.98/186,626.80
  6. Step 6: Final answer
    x = 69,577.48

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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.