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Finding the Fourth Proportional to 144,761.58, 217,089 and 49,967.64

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Solution

The fourth proportional to 144,761.58, 217,089 and 49,967.64 is: 74,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,761.58 : 217,089 = 49,967.64 : x
  2. Step 2: Convert to fraction form
    144,761.58/217,089 = 49,967.64/x
  3. Step 3: Cross multiply
    144,761.58x = 217,089 × 49,967.64
  4. Step 4: Simplify right side
    144,761.58x = 10,847,424,999.96
  5. Step 5: Solve for x
    x = 10,847,424,999.96/144,761.58
  6. Step 6: Final answer
    x = 74,933.04

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1.5x scale

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.