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Finding the Fourth Proportional to 137,870.64, 206,762.22 and 53,625.24

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Solution

The fourth proportional to 137,870.64, 206,762.22 and 53,625.24 is: 80,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,870.64 : 206,762.22 = 53,625.24 : x
  2. Step 2: Convert to fraction form
    137,870.64/206,762.22 = 53,625.24/x
  3. Step 3: Cross multiply
    137,870.64x = 206,762.22 × 53,625.24
  4. Step 4: Simplify right side
    137,870.64x = 11,087,673,670.43
  5. Step 5: Solve for x
    x = 11,087,673,670.43/137,870.64
  6. Step 6: Final answer
    x = 80,420.85

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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.