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Finding the Fourth Proportional to 136,205.50, 204,308.25 and 37,709.50

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Solution

The fourth proportional to 136,205.50, 204,308.25 and 37,709.50 is: 56,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,205.50 : 204,308.25 = 37,709.50 : x
  2. Step 2: Convert to fraction form
    136,205.50/204,308.25 = 37,709.50/x
  3. Step 3: Cross multiply
    136,205.50x = 204,308.25 × 37,709.50
  4. Step 4: Simplify right side
    136,205.50x = 7,704,361,953.38
  5. Step 5: Solve for x
    x = 7,704,361,953.38/136,205.50
  6. Step 6: Final answer
    x = 56,564.25

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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.