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Finding the Fourth Proportional to 137,598.24, 206,406.96 and 54,492

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Solution

The fourth proportional to 137,598.24, 206,406.96 and 54,492 is: 81,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.24 : 206,406.96 = 54,492 : x
  2. Step 2: Convert to fraction form
    137,598.24/206,406.96 = 54,492/x
  3. Step 3: Cross multiply
    137,598.24x = 206,406.96 × 54,492
  4. Step 4: Simplify right side
    137,598.24x = 11,247,528,064.32
  5. Step 5: Solve for x
    x = 11,247,528,064.32/137,598.24
  6. Step 6: Final answer
    x = 81,741.80

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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.