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Finding the Fourth Proportional to 137,448.64, 206,107.80 and 53,248.24

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Solution

The fourth proportional to 137,448.64, 206,107.80 and 53,248.24 is: 79,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,448.64 : 206,107.80 = 53,248.24 : x
  2. Step 2: Convert to fraction form
    137,448.64/206,107.80 = 53,248.24/x
  3. Step 3: Cross multiply
    137,448.64x = 206,107.80 × 53,248.24
  4. Step 4: Simplify right side
    137,448.64x = 10,974,877,600.27
  5. Step 5: Solve for x
    x = 10,974,877,600.27/137,448.64
  6. Step 6: Final answer
    x = 79,847.12

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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.