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Finding the Fourth Proportional to 137,496, 206,243.68 and 37,656.96

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Solution

The fourth proportional to 137,496, 206,243.68 and 37,656.96 is: 56,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,496 : 206,243.68 = 37,656.96 : x
  2. Step 2: Convert to fraction form
    137,496/206,243.68 = 37,656.96/x
  3. Step 3: Cross multiply
    137,496x = 206,243.68 × 37,656.96
  4. Step 4: Simplify right side
    137,496x = 7,766,510,008.01
  5. Step 5: Solve for x
    x = 7,766,510,008.01/137,496
  6. Step 6: Final answer
    x = 56,485.35

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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.