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Finding the Fourth Proportional to 144,217.36, 216,338.34 and 37,615.48

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Solution

The fourth proportional to 144,217.36, 216,338.34 and 37,615.48 is: 56,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,217.36 : 216,338.34 = 37,615.48 : x
  2. Step 2: Convert to fraction form
    144,217.36/216,338.34 = 37,615.48/x
  3. Step 3: Cross multiply
    144,217.36x = 216,338.34 × 37,615.48
  4. Step 4: Simplify right side
    144,217.36x = 8,137,670,501.50
  5. Step 5: Solve for x
    x = 8,137,670,501.50/144,217.36
  6. Step 6: Final answer
    x = 56,426.43

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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.