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Finding the Fourth Proportional to 137,782.50, 206,646.57 and 37,917.06

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Solution

The fourth proportional to 137,782.50, 206,646.57 and 37,917.06 is: 56,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.50 : 206,646.57 = 37,917.06 : x
  2. Step 2: Convert to fraction form
    137,782.50/206,646.57 = 37,917.06/x
  3. Step 3: Cross multiply
    137,782.50x = 206,646.57 × 37,917.06
  4. Step 4: Simplify right side
    137,782.50x = 7,835,430,393.48
  5. Step 5: Solve for x
    x = 7,835,430,393.48/137,782.50
  6. Step 6: Final answer
    x = 56,868.11

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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.