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Finding the Fourth Proportional to 186,714.96, 280,071 and 46,472.64

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Solution

The fourth proportional to 186,714.96, 280,071 and 46,472.64 is: 69,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714.96 : 280,071 = 46,472.64 : x
  2. Step 2: Convert to fraction form
    186,714.96/280,071 = 46,472.64/x
  3. Step 3: Cross multiply
    186,714.96x = 280,071 × 46,472.64
  4. Step 4: Simplify right side
    186,714.96x = 13,015,638,757.44
  5. Step 5: Solve for x
    x = 13,015,638,757.44/186,714.96
  6. Step 6: Final answer
    x = 69,708.60

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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.