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Finding the Fourth Proportional to 137,655.59, 206,460.09 and 37,792.58

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Solution

The fourth proportional to 137,655.59, 206,460.09 and 37,792.58 is: 56,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655.59 : 206,460.09 = 37,792.58 : x
  2. Step 2: Convert to fraction form
    137,655.59/206,460.09 = 37,792.58/x
  3. Step 3: Cross multiply
    137,655.59x = 206,460.09 × 37,792.58
  4. Step 4: Simplify right side
    137,655.59x = 7,802,658,435.83
  5. Step 5: Solve for x
    x = 7,802,658,435.83/137,655.59
  6. Step 6: Final answer
    x = 56,682.47

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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.