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Finding the Fourth Proportional to 137,653.46, 206,477.76 and 37,813.26

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Solution

The fourth proportional to 137,653.46, 206,477.76 and 37,813.26 is: 56,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.46 : 206,477.76 = 37,813.26 : x
  2. Step 2: Convert to fraction form
    137,653.46/206,477.76 = 37,813.26/x
  3. Step 3: Cross multiply
    137,653.46x = 206,477.76 × 37,813.26
  4. Step 4: Simplify right side
    137,653.46x = 7,807,597,223.10
  5. Step 5: Solve for x
    x = 7,807,597,223.10/137,653.46
  6. Step 6: Final answer
    x = 56,719.22

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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.