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Finding the Fourth Proportional to 137,684.35, 206,531.58 and 37,852.36

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Solution

The fourth proportional to 137,684.35, 206,531.58 and 37,852.36 is: 56,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,684.35 : 206,531.58 = 37,852.36 : x
  2. Step 2: Convert to fraction form
    137,684.35/206,531.58 = 37,852.36/x
  3. Step 3: Cross multiply
    137,684.35x = 206,531.58 × 37,852.36
  4. Step 4: Simplify right side
    137,684.35x = 7,817,707,717.53
  5. Step 5: Solve for x
    x = 7,817,707,717.53/137,684.35
  6. Step 6: Final answer
    x = 56,779.93

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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.